10615567124960 has 144 divisors (see below), whose sum is σ = 29267067188016. Its totient is φ = 3627993987072.

The previous prime is 10615567124927. The next prime is 10615567124999. The reversal of 10615567124960 is 6942176551601.

It is a super-2 number, since 2×10615567124960² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290939 + ... + 4616901.

It is an arithmetic number, because the mean of its divisors is an integer number (203243522139).

Almost surely, 2^{10615567124960} is an apocalyptic number.

10615567124960 is a gapful number since it is divisible by the number (10) 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 10615567124960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14633533594008).

10615567124960 is an abundant number, since it is smaller than the sum of its proper divisors (18651500063056).

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

10615567124960 is a wasteful number, since it uses less digits than its factorization.

10615567124960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4326305 (or 4326290 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 53.

The spelling of 10615567124960 in words is "ten trillion, six hundred fifteen billion, five hundred sixty-seven million, one hundred twenty-four thousand, nine hundred sixty".