63121795884 has 288 divisors, whose sum is σ = 205064294400. Its totient is φ = 16693205760.

The previous prime is 63121795859. The next prime is 63121795897. The reversal of 63121795884 is 48859712136.

63121795884 is a `hidden beast` number, since 6 + 31 + 21 + 7 + 9 + 588 + 4 = 666.

63121795884 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×63121795884² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 63121795884.

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, 3764832 + ... + 3781560.

It is an arithmetic number, because the mean of its divisors is an integer number (712028800).

Almost surely, 2^63121795884 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 63121795884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102532147200).

63121795884 is an abundant number, since it is smaller than the sum of its proper divisors (141942498516).

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

63121795884 is a wasteful number, since it uses less digits than its factorization.

63121795884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16810 (or 16795 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 63121795884 in words is "sixty-three billion, one hundred twenty-one million, seven hundred ninety-five thousand, eight hundred eighty-four".