51531506880000 has 1600 divisors, whose sum is σ = 201355243296768. Its totient is φ = 11463229440000.

The previous prime is 51531506879981. The next prime is 51531506880043. The reversal of 51531506880000 is 8860513515.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 76117439662 + ... + 76117440338.

Almost surely, 2^{51531506880000} is an apocalyptic number.

51531506880000 is a gapful number since it is divisible by the number (50) 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 51531506880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100677621648384).

51531506880000 is an abundant number, since it is smaller than the sum of its proper divisors (149823736416768).

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

51531506880000 is an equidigital number, since it uses as much as digits as its factorization.

51531506880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 42.

The spelling of 51531506880000 in words is "fifty-one trillion, five hundred thirty-one billion, five hundred six million, eight hundred eighty thousand".