27758900400 has 720 divisors, whose sum is σ = 115436611584. Its totient is φ = 5575680000.

The previous prime is 27758900363. The next prime is 27758900419. The reversal of 27758900400 is 400985772.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31507960 + ... + 31508840.

Almost surely, 2^27758900400 is an apocalyptic number.

27758900400 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 27758900400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57718305792).

27758900400 is an abundant number, since it is smaller than the sum of its proper divisors (87677711184).

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

27758900400 is a wasteful number, since it uses less digits than its factorization.

27758900400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 27758900400 in words is "twenty-seven billion, seven hundred fifty-eight million, nine hundred thousand, four hundred".