5206881576960 has 1152 divisors, whose sum is σ = 21736152023040. Its totient is φ = 1127015645184.

The previous prime is 5206881576931. The next prime is 5206881576961. The reversal of 5206881576960 is 696751886025.

5206881576960 is a `hidden beast` number, since 52 + 0 + 6 + 8 + 8 + 1 + 576 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×5206881576960² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (5206881576961) 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, 1528287577 + ... + 1528290983.

It is an arithmetic number, because the mean of its divisors is an integer number (18868187520).

Almost surely, 2^{5206881576960} 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 5206881576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10868076011520).

5206881576960 is an abundant number, since it is smaller than the sum of its proper divisors (16529270446080).

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

5206881576960 is a wasteful number, since it uses less digits than its factorization.

5206881576960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3573 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 5206881576960 in words is "five trillion, two hundred six billion, eight hundred eighty-one million, five hundred seventy-six thousand, nine hundred sixty".