27750976081920 has 1664 divisors, whose sum is σ = 128571975060480. Its totient is φ = 5510560481280.

The previous prime is 27750976081883. The next prime is 27750976081931. The reversal of 27750976081920 is 2918067905772.

27750976081920 is a `hidden beast` number, since 2 + 7 + 7 + 5 + 0 + 9 + 7 + 608 + 19 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 855412900 + ... + 855445340.

Almost surely, 2^{27750976081920} is an apocalyptic number.

27750976081920 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 27750976081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64285987530240).

27750976081920 is an abundant number, since it is smaller than the sum of its proper divisors (100820998978560).

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

27750976081920 is a wasteful number, since it uses less digits than its factorization.

27750976081920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32516 (or 32488 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 63.

The spelling of 27750976081920 in words is "twenty-seven trillion, seven hundred fifty billion, nine hundred seventy-six million, eighty-one thousand, nine hundred twenty".