52432400816100 has 216 divisors, whose sum is σ = 171740171383872. Its totient is φ = 13354703366400.

The previous prime is 52432400816099. The next prime is 52432400816119. The reversal of 52432400816100 is 161800423425.

It is a happy number.

52432400816100 is a `hidden beast` number, since 5 + 2 + 4 + 32 + 4 + 0 + 0 + 8 + 1 + 610 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12470874 + ... + 16136526.

Almost surely, 2^{52432400816100} is an apocalyptic number.

52432400816100 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 52432400816100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85870085691936).

52432400816100 is an abundant number, since it is smaller than the sum of its proper divisors (119307770567772).

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

52432400816100 is a wasteful number, since it uses less digits than its factorization.

52432400816100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3666387 (or 3666377 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 52432400816100 in words is "fifty-two trillion, four hundred thirty-two billion, four hundred million, eight hundred sixteen thousand, one hundred".