51058813467424 has 288 divisors, whose sum is σ = 126579636172080. Its totient is φ = 20168864980992.

The previous prime is 51058813467397. The next prime is 51058813467457. The reversal of 51058813467424 is 42476431885015.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 39507107979024 + 11551705488400 = 6285468^2 + 3398780^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88884294 + ... + 89456890.

Almost surely, 2^{51058813467424} 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 51058813467424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63289818086040).

51058813467424 is an abundant number, since it is smaller than the sum of its proper divisors (75520822704656).

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

51058813467424 is a wasteful number, since it uses less digits than its factorization.

51058813467424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572740 (or 572725 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 58.

The spelling of 51058813467424 in words is "fifty-one trillion, fifty-eight billion, eight hundred thirteen million, four hundred sixty-seven thousand, four hundred twenty-four".