52605621350400 has 312 divisors, whose sum is σ = 174234272645520. Its totient is φ = 14003465093120.

The previous prime is 52605621350377. The next prime is 52605621350411. The reversal of 52605621350400 is 405312650625.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174646324 + ... + 174947276.

Almost surely, 2^{52605621350400} is an apocalyptic number.

52605621350400 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 52605621350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87117136322760).

52605621350400 is an abundant number, since it is smaller than the sum of its proper divisors (121628651295120).

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

52605621350400 is a wasteful number, since it uses less digits than its factorization.

52605621350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301559 (or 301532 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 52605621350400 in words is "fifty-two trillion, six hundred five billion, six hundred twenty-one million, three hundred fifty thousand, four hundred".