10616511120 has 80 divisors (see below), whose sum is σ = 34342123392. Its totient is φ = 2707978240.

The previous prime is 10616511077. The next prime is 10616511127. The reversal of 10616511120 is 2111561601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10616511120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10616511127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 956121 + ... + 967160.

Almost surely, 2^10616511120 is an apocalyptic number.

10616511120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10616511120 is an abundant number, since it is smaller than the sum of its proper divisors (23725612272).

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

10616511120 is a wasteful number, since it uses less digits than its factorization.

10616511120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923320 (or 1923314 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 24.

The spelling of 10616511120 in words is "ten billion, six hundred sixteen million, five hundred eleven thousand, one hundred twenty".