15166416640 has 72 divisors (see below), whose sum is σ = 36351746928. Its totient is φ = 6062653440.

The previous prime is 15166416623. The next prime is 15166416649. The reversal of 15166416640 is 4661466151.

15166416640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 15166416593 and 15166416602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15166416649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2763339 + ... + 2768821.

It is an arithmetic number, because the mean of its divisors is an integer number (504885374).

Almost surely, 2^15166416640 is an apocalyptic number.

15166416640 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 15166416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18175873464).

15166416640 is an abundant number, since it is smaller than the sum of its proper divisors (21185330288).

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

15166416640 is an equidigital number, since it uses as much as digits as its factorization.

15166416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7665 (or 7651 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 15166416640 in words is "fifteen billion, one hundred sixty-six million, four hundred sixteen thousand, six hundred forty".