10115683914720 has 192 divisors, whose sum is σ = 33523792335936. Its totient is φ = 2560594821120.

The previous prime is 10115683914671. The next prime is 10115683914733. The reversal of 10115683914720 is 2741938651101.

It is a super-2 number, since 2×10115683914720² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10115683914720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6217899 + ... + 7674218.

It is an arithmetic number, because the mean of its divisors is an integer number (174603085083).

It is a 1-persistent number, because it is pandigital, but 2⋅10115683914720 = 20231367829440 is not.

Almost surely, 2^{10115683914720} is an apocalyptic number.

10115683914720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10115683914720 is an abundant number, since it is smaller than the sum of its proper divisors (23408108421216).

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

10115683914720 is a wasteful number, since it uses less digits than its factorization.

10115683914720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13892213 (or 13892205 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 10115683914720 in words is "ten trillion, one hundred fifteen billion, six hundred eighty-three million, nine hundred fourteen thousand, seven hundred twenty".