5277634412400 has 300 divisors, whose sum is σ = 21646865378512. Its totient is φ = 1206316385280.

The previous prime is 5277634412291. The next prime is 5277634412431. The reversal of 5277634412400 is 42144367725.

5277634412400 is a `hidden beast` number, since 5 + 2 + 7 + 7 + 634 + 4 + 1 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11408197 + ... + 11861796.

Almost surely, 2^{5277634412400} is an apocalyptic number.

5277634412400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5277634412400 is an abundant number, since it is smaller than the sum of its proper divisors (16369230966112).

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

5277634412400 is a wasteful number, since it uses less digits than its factorization.

5277634412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23270030 (or 23270010 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 5277634412400 in words is "five trillion, two hundred seventy-seven billion, six hundred thirty-four million, four hundred twelve thousand, four hundred".