27964251400 has 48 divisors (see below), whose sum is σ = 65171515140. Its totient is φ = 11159097600.

The previous prime is 27964251379. The next prime is 27964251463. The reversal of 27964251400 is 415246972.

It can be written as a sum of positive squares in 6 ways, for example, as 299913124 + 27664338276 = 17318^2 + 166326^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81859 + ... + 250258.

Almost surely, 2^27964251400 is an apocalyptic number.

27964251400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27964251400 is an abundant number, since it is smaller than the sum of its proper divisors (37207263740).

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

27964251400 is a wasteful number, since it uses less digits than its factorization.

27964251400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332554 (or 332545 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 27964251400 in words is "twenty-seven billion, nine hundred sixty-four million, two hundred fifty-one thousand, four hundred".