5641527528864 has 96 divisors (see below), whose sum is σ = 16456484782080. Its totient is φ = 1880277235200.

The previous prime is 5641527528821. The next prime is 5641527528943. The reversal of 5641527528864 is 4688257251465.

It is a happy number.

5641527528864 is a `hidden beast` number, since 5 + 6 + 4 + 1 + 5 + 27 + 528 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6678444 + ... + 7475604.

It is an arithmetic number, because the mean of its divisors is an integer number (171421716480).

Almost surely, 2^{5641527528864} is an apocalyptic number.

5641527528864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5641527528864 is an abundant number, since it is smaller than the sum of its proper divisors (10814957253216).

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

5641527528864 is a wasteful number, since it uses less digits than its factorization.

5641527528864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805371 (or 805357 counting only the distinct ones).

The product of its digits is 129024000, while the sum is 63.

The spelling of 5641527528864 in words is "five trillion, six hundred forty-one billion, five hundred twenty-seven million, five hundred twenty-eight thousand, eight hundred sixty-four".