5090872550400 has 4752 divisors, whose sum is σ = 25751147071104. Its totient is φ = 966981058560.

The previous prime is 5090872550371. The next prime is 5090872550411. The reversal of 5090872550400 is 40552780905.

5090872550400 is a `hidden beast` number, since 5 + 0 + 90 + 8 + 7 + 2 + 550 + 4 + 0 + 0 = 666.

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 431 ways as a sum of consecutive naturals, for example, 221342284789 + ... + 221342284811.

Almost surely, 2^{5090872550400} is an apocalyptic number.

5090872550400 is a gapful number since it is divisible by the number (50) 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 5090872550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12875573535552).

5090872550400 is an abundant number, since it is smaller than the sum of its proper divisors (20660274520704).

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

5090872550400 is a wasteful number, since it uses less digits than its factorization.

5090872550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 5090872550400 in words is "five trillion, ninety billion, eight hundred seventy-two million, five hundred fifty thousand, four hundred".