10185299244960 has 192 divisors, whose sum is σ = 37849886613504. Its totient is φ = 2252969395200.

The previous prime is 10185299244959. The next prime is 10185299244977. The reversal of 10185299244960 is 6944299258101.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 10185299244894 and 10185299244903.

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, 48788406 + ... + 48996725.

It is an arithmetic number, because the mean of its divisors is an integer number (197134826112).

Almost surely, 2^{10185299244960} is an apocalyptic number.

10185299244960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10185299244960 is an abundant number, since it is smaller than the sum of its proper divisors (27664587368544).

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

10185299244960 is a wasteful number, since it uses less digits than its factorization.

10185299244960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97785187 (or 97785179 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 60.

The spelling of 10185299244960 in words is "ten trillion, one hundred eighty-five billion, two hundred ninety-nine million, two hundred forty-four thousand, nine hundred sixty".