51239434320000 has 960 divisors, whose sum is σ = 186825145066560. Its totient is φ = 13474206720000.

The previous prime is 51239434319999. The next prime is 51239434320059. The reversal of 51239434320000 is 2343493215.

51239434320000 is a `hidden beast` number, since 5 + 1 + 23 + 94 + 343 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 119 ways as a sum of consecutive naturals, for example, 15751438374 + ... + 15751441626.

It is an arithmetic number, because the mean of its divisors is an integer number (194609526111).

Almost surely, 2^{51239434320000} is an apocalyptic number.

51239434320000 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 51239434320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93412572533280).

51239434320000 is an abundant number, since it is smaller than the sum of its proper divisors (135585710746560).

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

51239434320000 is a wasteful number, since it uses less digits than its factorization.

51239434320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3591 (or 3561 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 51239434320000 in words is "fifty-one trillion, two hundred thirty-nine billion, four hundred thirty-four million, three hundred twenty thousand".