26130850905600 has 4800 divisors, whose sum is σ = 125720114826240. Its totient is φ = 5217111244800.

The previous prime is 26130850905587. The next prime is 26130850905613. The reversal of 26130850905600 is 650905803162.

26130850905600 is a `hidden beast` number, since 2 + 6 + 1 + 3 + 0 + 85 + 0 + 9 + 0 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26130850905587) and next prime (26130850905613).

It is a tau number, because it is divible by the number of its divisors (4800).

It is a super-2 number, since 2×26130850905600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 166438540722 + ... + 166438540878.

Almost surely, 2^{26130850905600} is an apocalyptic number.

26130850905600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26130850905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62860057413120).

26130850905600 is an abundant number, since it is smaller than the sum of its proper divisors (99589263920640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26130850905600 is a wasteful number, since it uses less digits than its factorization.

26130850905600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 26130850905600 in words is "twenty-six trillion, one hundred thirty billion, eight hundred fifty million, nine hundred five thousand, six hundred".