51958469931264 has 1440 divisors, whose sum is σ = 179115311412576. Its totient is φ = 14839783096320.

The previous prime is 51958469931241. The next prime is 51958469931283. The reversal of 51958469931264 is 46213996485915.

51958469931264 is a `hidden beast` number, since 5 + 1 + 9 + 5 + 8 + 469 + 93 + 12 + 64 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 831393828864 + 51127076102400 = 911808^2 + 7150320^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 51958469931192 and 51958469931201.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 184905586804 + ... + 184905587084.

Almost surely, 2^{51958469931264} is an apocalyptic number.

51958469931264 is a gapful number since it is divisible by the number (54) 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 51958469931264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89557655706288).

51958469931264 is an abundant number, since it is smaller than the sum of its proper divisors (127156841481312).

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

51958469931264 is a wasteful number, since it uses less digits than its factorization.

51958469931264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 730 counting only the distinct ones).

The product of its digits is 503884800, while the sum is 72.

The spelling of 51958469931264 in words is "fifty-one trillion, nine hundred fifty-eight billion, four hundred sixty-nine million, nine hundred thirty-one thousand, two hundred sixty-four".