52529002322400 has 216 divisors, whose sum is σ = 185247472324824. Its totient is φ = 14006442470400.

The previous prime is 52529002322369. The next prime is 52529002322491. The reversal of 52529002322400 is 422320092525.

It is a happy number.

52529002322400 is a `hidden beast` number, since 5 + 2 + 5 + 290 + 0 + 2 + 322 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 79063590 + ... + 79725210.

It is an arithmetic number, because the mean of its divisors is an integer number (857627186689).

Almost surely, 2^{52529002322400} is an apocalyptic number.

52529002322400 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 52529002322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92623736162412).

52529002322400 is an abundant number, since it is smaller than the sum of its proper divisors (132718470002424).

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

52529002322400 is a wasteful number, since it uses less digits than its factorization.

52529002322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672674 (or 672658 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 52529002322400 in words is "fifty-two trillion, five hundred twenty-nine billion, two million, three hundred twenty-two thousand, four hundred".