52151135400 has 864 divisors, whose sum is σ = 228326904000. Its totient is φ = 10416107520.

The previous prime is 52151135389. The next prime is 52151135417. The reversal of 52151135400 is 453115125.

52151135400 = T₁₂₀ + T₁₂₁ + ... + T₆₇₈₈.

52151135400 is a `hidden beast` number, since 5 + 2 + 1 + 5 + 113 + 540 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 40457956 + ... + 40459244.

It is an arithmetic number, because the mean of its divisors is an integer number (264267250).

Almost surely, 2^52151135400 is an apocalyptic number.

52151135400 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 52151135400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114163452000).

52151135400 is an abundant number, since it is smaller than the sum of its proper divisors (176175768600).

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

52151135400 is a wasteful number, since it uses less digits than its factorization.

52151135400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 52151135400 in words is "fifty-two billion, one hundred fifty-one million, one hundred thirty-five thousand, four hundred".