52134155014400 has 216 divisors, whose sum is σ = 130334237866560. Its totient is φ = 20644663173120.

The previous prime is 52134155014343. The next prime is 52134155014463. The reversal of 52134155014400 is 441055143125.

It is a happy number.

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, 2444962139 + ... + 2444983461.

Almost surely, 2^{52134155014400} is an apocalyptic number.

52134155014400 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 52134155014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65167118933280).

52134155014400 is an abundant number, since it is smaller than the sum of its proper divisors (78200082852160).

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

52134155014400 is a wasteful number, since it uses less digits than its factorization.

52134155014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25161 (or 25142 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The spelling of 52134155014400 in words is "fifty-two trillion, one hundred thirty-four billion, one hundred fifty-five million, fourteen thousand, four hundred".