13587220766240 has 96 divisors (see below), whose sum is σ = 35022567404160. Its totient is φ = 4940159385600.

The previous prime is 13587220766191. The next prime is 13587220766279. The reversal of 13587220766240 is 4266702278531.

13587220766240 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 2×13587220766240² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

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, 13016021 + ... + 14021099.

It is an arithmetic number, because the mean of its divisors is an integer number (364818410460).

Almost surely, 2^{13587220766240} is an apocalyptic number.

13587220766240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13587220766240 is an abundant number, since it is smaller than the sum of its proper divisors (21435346637920).

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

13587220766240 is a wasteful number, since it uses less digits than its factorization.

13587220766240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012786 (or 1012778 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 53.

The spelling of 13587220766240 in words is "thirteen trillion, five hundred eighty-seven billion, two hundred twenty million, seven hundred sixty-six thousand, two hundred forty".