56211369984 has 1248 divisors, whose sum is σ = 225898606080. Its totient is φ = 13624934400.

The previous prime is 56211369979. The next prime is 56211369989. The reversal of 56211369984 is 48996311265.

56211369984 is a `hidden beast` number, since 5 + 621 + 1 + 3 + 6 + 9 + 9 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (56211369979) and next prime (56211369989).

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 56211369984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56211369989) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1371009004 + ... + 1371009044.

Almost surely, 2^56211369984 is an apocalyptic number.

56211369984 is a gapful number since it is divisible by the number (54) 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 56211369984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112949303040).

56211369984 is an abundant number, since it is smaller than the sum of its proper divisors (169687236096).

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

56211369984 is a wasteful number, since it uses less digits than its factorization.

56211369984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 87 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 56211369984 in words is "fifty-six billion, two hundred eleven million, three hundred sixty-nine thousand, nine hundred eighty-four".