15105077000640 has 896 divisors, whose sum is σ = 61535199052800. Its totient is φ = 3453317038080.

The previous prime is 15105077000599. The next prime is 15105077000701. The reversal of 15105077000640 is 4600077050151.

15105077000640 is a `hidden beast` number, since 1 + 5 + 1 + 0 + 5 + 0 + 7 + 7 + 0 + 0 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 15105077000595 and 15105077000604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 118451154 + ... + 118578606.

Almost surely, 2^{15105077000640} is an apocalyptic number.

15105077000640 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 15105077000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30767599526400).

15105077000640 is an abundant number, since it is smaller than the sum of its proper divisors (46430122052160).

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

15105077000640 is a wasteful number, since it uses less digits than its factorization.

15105077000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127562 (or 127546 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 15105077000640 in words is "fifteen trillion, one hundred five billion, seventy-seven million, six hundred forty", and thus it is an aban number.