51132594441656 has 1152 divisors, whose sum is σ = 134138881474560. Its totient is φ = 18151765632000.

The previous prime is 51132594441619. The next prime is 51132594441727. The reversal of 51132594441656 is 65614449523115.

It is a super-2 number, since 2×51132594441656² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 338626453181 + ... + 338626453331.

It is an arithmetic number, because the mean of its divisors is an integer number (116440001280).

Almost surely, 2^{51132594441656} is an apocalyptic number.

51132594441656 is a gapful number since it is divisible by the number (56) 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 51132594441656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67069440737280).

51132594441656 is an abundant number, since it is smaller than the sum of its proper divisors (83006287032904).

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

51132594441656 is a wasteful number, since it uses less digits than its factorization.

51132594441656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 401 counting only the distinct ones).

The product of its digits is 15552000, while the sum is 56.

The spelling of 51132594441656 in words is "fifty-one trillion, one hundred thirty-two billion, five hundred ninety-four million, four hundred forty-one thousand, six hundred fifty-six".