51437731692816 has 960 divisors, whose sum is σ = 186559746912000. Its totient is φ = 13483668602880.

The previous prime is 51437731692769. The next prime is 51437731692839. The reversal of 51437731692816 is 61829613773415.

51437731692816 is a `hidden beast` number, since 5 + 1 + 4 + 37 + 7 + 316 + 9 + 281 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2259101080 + ... + 2259123848.

It is an arithmetic number, because the mean of its divisors is an integer number (194333069700).

Almost surely, 2^{51437731692816} is an apocalyptic number.

51437731692816 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 51437731692816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93279873456000).

51437731692816 is an abundant number, since it is smaller than the sum of its proper divisors (135122015219184).

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

51437731692816 is a wasteful number, since it uses less digits than its factorization.

51437731692816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22997 (or 22978 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 51437731692816 in words is "fifty-one trillion, four hundred thirty-seven billion, seven hundred thirty-one million, six hundred ninety-two thousand, eight hundred sixteen".