15082079040 has 448 divisors, whose sum is σ = 64388390400. Its totient is φ = 3244326912.

The previous prime is 15082079021. The next prime is 15082079063. The reversal of 15082079040 is 4097028051.

15082079040 is a `hidden beast` number, since 1 + 508 + 20 + 7 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 = 15082078986 and 15082079004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1020826 + ... + 1035494.

Almost surely, 2^15082079040 is an apocalyptic number.

15082079040 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 15082079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32194195200).

15082079040 is an abundant number, since it is smaller than the sum of its proper divisors (49306311360).

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

15082079040 is a wasteful number, since it uses less digits than its factorization.

15082079040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14719 (or 14703 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 15082079040 in words is "fifteen billion, eighty-two million, seventy-nine thousand, forty".