51630015467520 has 1248 divisors, whose sum is σ = 211498013435904. Its totient is φ = 11400354201600.

The previous prime is 51630015467519. The next prime is 51630015467533. The reversal of 51630015467520 is 2576451003615.

51630015467520 is a `hidden beast` number, since 5 + 1 + 6 + 30 + 0 + 1 + 546 + 75 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43717201330 + ... + 43717202510.

It is an arithmetic number, because the mean of its divisors is an integer number (169469562048).

Almost surely, 2^{51630015467520} 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 51630015467520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105749006717952).

51630015467520 is an abundant number, since it is smaller than the sum of its proper divisors (159867997968384).

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

51630015467520 is a wasteful number, since it uses less digits than its factorization.

51630015467520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2347 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 51630015467520 in words is "fifty-one trillion, six hundred thirty billion, fifteen million, four hundred sixty-seven thousand, five hundred twenty".