10300577215040 has 112 divisors (see below), whose sum is σ = 28998915840000. Its totient is φ = 3409846228992.

The previous prime is 10300577215031. The next prime is 10300577215171. The reversal of 10300577215040 is 4051277500301.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×10300577215040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 79219040 + ... + 79348959.

Almost surely, 2^{10300577215040} is an apocalyptic number.

10300577215040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10300577215040 is an abundant number, since it is smaller than the sum of its proper divisors (18698338624960).

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

10300577215040 is a wasteful number, since it uses less digits than its factorization.

10300577215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158568052 (or 158568042 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 35.

The spelling of 10300577215040 in words is "ten trillion, three hundred billion, five hundred seventy-seven million, two hundred fifteen thousand, forty".