51246928128000 has 1536 divisors, whose sum is σ = 198956880944640. Its totient is φ = 11573657600000.

The previous prime is 51246928127951. The next prime is 51246928128083. The reversal of 51246928128000 is 82182964215.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 14505214234 + ... + 14505217766.

It is an arithmetic number, because the mean of its divisors is an integer number (129529219365).

Almost surely, 2^{51246928128000} is an apocalyptic number.

51246928128000 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 51246928128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99478440472320).

51246928128000 is an abundant number, since it is smaller than the sum of its proper divisors (147709952816640).

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

51246928128000 is a wasteful number, since it uses less digits than its factorization.

51246928128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3702 (or 3672 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 51246928128000 in words is "fifty-one trillion, two hundred forty-six billion, nine hundred twenty-eight million, one hundred twenty-eight thousand".