51096627844080 has 2560 divisors, whose sum is σ = 218674003968000. Its totient is φ = 9621636710400.

The previous prime is 51096627843941. The next prime is 51096627844133. The reversal of 51096627844080 is 8044872669015.

It is a happy number.

It is a super-2 number, since 2×51096627844080² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 127423011880 + ... + 127423012280.

It is an arithmetic number, because the mean of its divisors is an integer number (85419532800).

Almost surely, 2^{51096627844080} 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 51096627844080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109337001984000).

51096627844080 is an abundant number, since it is smaller than the sum of its proper divisors (167577376123920).

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

51096627844080 is a wasteful number, since it uses less digits than its factorization.

51096627844080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 51096627844080 in words is "fifty-one trillion, ninety-six billion, six hundred twenty-seven million, eight hundred forty-four thousand, eighty".