53138026752000 has 1536 divisors, whose sum is σ = 185928877854720. Its totient is φ = 13463224320000.

The previous prime is 53138026751981. The next prime is 53138026752011. The reversal of 53138026752000 is 25762083135.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1536).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 307156223914 + ... + 307156224086.

It is an arithmetic number, because the mean of its divisors is an integer number (121047446520).

Almost surely, 2^{53138026752000} is an apocalyptic number.

53138026752000 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 53138026752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92964438927360).

53138026752000 is an abundant number, since it is smaller than the sum of its proper divisors (132790851102720).

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

53138026752000 is a wasteful number, since it uses less digits than its factorization.

53138026752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 53138026752000 in words is "fifty-three trillion, one hundred thirty-eight billion, twenty-six million, seven hundred fifty-two thousand".