51658104960 has 768 divisors, whose sum is σ = 227032416000. Its totient is φ = 10729635840.

The previous prime is 51658104947. The next prime is 51658104983. The reversal of 51658104960 is 6940185615.

51658104960 is a `hidden beast` number, since 5 + 1 + 6 + 581 + 0 + 4 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21731292 + ... + 21733668.

It is an arithmetic number, because the mean of its divisors is an integer number (295615125).

Almost surely, 2^51658104960 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 51658104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113516208000).

51658104960 is an abundant number, since it is smaller than the sum of its proper divisors (175374311040).

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

51658104960 is a wasteful number, since it uses less digits than its factorization.

51658104960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 51658104960 in words is "fifty-one billion, six hundred fifty-eight million, one hundred four thousand, nine hundred sixty".