27972076900 has 18 divisors (see below), whose sum is σ = 60699407090. Its totient is φ = 11188830720.

The previous prime is 27972076877. The next prime is 27972076903. The reversal of 27972076900 is 967027972.

It can be written as a sum of positive squares in 3 ways, for example, as 3404022336 + 24568054564 = 58344^2 + 156742^2 .

It is a super-2 number, since 2×27972076900² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27972076903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139860285 + ... + 139860484.

Almost surely, 2^27972076900 is an apocalyptic number.

27972076900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27972076900 is an abundant number, since it is smaller than the sum of its proper divisors (32727330190).

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

27972076900 is a wasteful number, since it uses less digits than its factorization.

27972076900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279720783 (or 279720776 counting only the distinct ones).

The product of its (nonzero) digits is 666792, while the sum is 49.

The spelling of 27972076900 in words is "twenty-seven billion, nine hundred seventy-two million, seventy-six thousand, nine hundred".