51151670760960 has 1920 divisors, whose sum is σ = 230286188740608. Its totient is φ = 10571378688000.

The previous prime is 51151670760959. The next prime is 51151670760997. The reversal of 51151670760960 is 6906707615115.

51151670760960 is a `hidden beast` number, since 5 + 1 + 1 + 516 + 7 + 0 + 7 + 60 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 51151670760897 and 51151670760906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9148927765 + ... + 9148933355.

Almost surely, 2^{51151670760960} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51151670760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115143094370304).

51151670760960 is an abundant number, since it is smaller than the sum of its proper divisors (179134517979648).

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

51151670760960 is a wasteful number, since it uses less digits than its factorization.

51151670760960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5838 (or 5810 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 54.

The spelling of 51151670760960 in words is "fifty-one trillion, one hundred fifty-one billion, six hundred seventy million, seven hundred sixty thousand, nine hundred sixty".