51811104377536 has 224 divisors, whose sum is σ = 125191045324800. Its totient is φ = 20767896944640.

The previous prime is 51811104377479. The next prime is 51811104377563. The reversal of 51811104377536 is 63577340111815.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1983642685 + ... + 1983668803.

It is an arithmetic number, because the mean of its divisors is an integer number (558888595200).

Almost surely, 2^{51811104377536} is an apocalyptic number.

51811104377536 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 51811104377536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62595522662400).

51811104377536 is an abundant number, since it is smaller than the sum of its proper divisors (73379940947264).

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

51811104377536 is a wasteful number, since it uses less digits than its factorization.

51811104377536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27775 (or 27765 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 52.

The spelling of 51811104377536 in words is "fifty-one trillion, eight hundred eleven billion, one hundred four million, three hundred seventy-seven thousand, five hundred thirty-six".