5056529587200 has 2640 divisors, whose sum is σ = 23336125947904. Its totient is φ = 1053455155200.

The previous prime is 5056529587189. The next prime is 5056529587297. The reversal of 5056529587200 is 27859256505.

It is a happy number.

5056529587200 is a `hidden beast` number, since 5 + 0 + 5 + 6 + 52 + 9 + 587 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 23964595095 + ... + 23964595305.

Almost surely, 2^{5056529587200} is an apocalyptic number.

5056529587200 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 5056529587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11668062973952).

5056529587200 is an abundant number, since it is smaller than the sum of its proper divisors (18279596360704).

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

5056529587200 is a wasteful number, since it uses less digits than its factorization.

5056529587200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 7560000, while the sum is 54.

The spelling of 5056529587200 in words is "five trillion, fifty-six billion, five hundred twenty-nine million, five hundred eighty-seven thousand, two hundred".