52334511310400 has 252 divisors, whose sum is σ = 141655725317904. Its totient is φ = 19016078822400.

The previous prime is 52334511310391. The next prime is 52334511310439. The reversal of 52334511310400 is 401311543325.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 252931787 + ... + 253138613.

Almost surely, 2^{52334511310400} is an apocalyptic number.

52334511310400 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 52334511310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70827862658952).

52334511310400 is an abundant number, since it is smaller than the sum of its proper divisors (89321214007504).

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

52334511310400 is a wasteful number, since it uses less digits than its factorization.

52334511310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208178 (or 208152 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

Adding to 52334511310400 its reverse (401311543325), we get a palindrome (52735822853725).

The spelling of 52334511310400 in words is "fifty-two trillion, three hundred thirty-four billion, five hundred eleven million, three hundred ten thousand, four hundred".