26672758500 has 192 divisors, whose sum is σ = 79705866240. Its totient is φ = 6927894400.

The previous prime is 26672758493. The next prime is 26672758501. The reversal of 26672758500 is 585727662.

It is a super-2 number, since 2×26672758500² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 26672758500.

It is not an unprimeable number, because it can be changed into a prime (26672758501) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16848709 + ... + 16850291.

It is an arithmetic number, because the mean of its divisors is an integer number (415134720).

Almost surely, 2^26672758500 is an apocalyptic number.

26672758500 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 26672758500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39852933120).

26672758500 is an abundant number, since it is smaller than the sum of its proper divisors (53033107740).

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

26672758500 is a wasteful number, since it uses less digits than its factorization.

26672758500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 26672758500 in words is "twenty-six billion, six hundred seventy-two million, seven hundred fifty-eight thousand, five hundred".