51287291546688 has 280 divisors, whose sum is σ = 152736213057824. Its totient is φ = 17016600268800.

The previous prime is 51287291546669. The next prime is 51287291546707. The reversal of 51287291546688 is 88664519278215.

51287291546688 is a `hidden beast` number, since 5 + 1 + 2 + 8 + 72 + 9 + 1 + 546 + 6 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (51287291546669) and next prime (51287291546707).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2932201623 + ... + 2932219113.

Almost surely, 2^{51287291546688} 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 51287291546688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76368106528912).

51287291546688 is an abundant number, since it is smaller than the sum of its proper divisors (101448921511136).

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

51287291546688 is a wasteful number, since it uses less digits than its factorization.

51287291546688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20103 (or 20084 counting only the distinct ones).

The product of its digits is 464486400, while the sum is 72.

The spelling of 51287291546688 in words is "fifty-one trillion, two hundred eighty-seven billion, two hundred ninety-one million, five hundred forty-six thousand, six hundred eighty-eight".