51953264019360 has 1536 divisors, whose sum is σ = 222103461888000. Its totient is φ = 11191468032000.

The previous prime is 51953264019353. The next prime is 51953264019407. The reversal of 51953264019360 is 6391046235915.

51953264019360 is a `hidden beast` number, since 5 + 1 + 9 + 5 + 3 + 264 + 0 + 19 + 360 = 666.

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 = 51953264019297 and 51953264019306.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1026739341 + ... + 1026789939.

It is an arithmetic number, because the mean of its divisors is an integer number (144598608000).

Almost surely, 2^{51953264019360} 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 51953264019360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111051730944000).

51953264019360 is an abundant number, since it is smaller than the sum of its proper divisors (170150197868640).

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

51953264019360 is a wasteful number, since it uses less digits than its factorization.

51953264019360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50723 (or 50709 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 51953264019360 in words is "fifty-one trillion, nine hundred fifty-three billion, two hundred sixty-four million, nineteen thousand, three hundred sixty".