15326807040 has 528 divisors, whose sum is σ = 56079808512. Its totient is φ = 4013162496.

The previous prime is 15326807003. The next prime is 15326807057. The reversal of 15326807040 is 4070862351.

15326807040 is a `hidden beast` number, since 1 + 532 + 6 + 80 + 7 + 0 + 40 = 666.

It is a super-2 number, since 2×15326807040² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 15326806986 and 15326807004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120683457 + ... + 120683583.

Almost surely, 2^15326807040 is an apocalyptic number.

15326807040 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 15326807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28039904256).

15326807040 is an abundant number, since it is smaller than the sum of its proper divisors (40753001472).

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

15326807040 is an equidigital number, since it uses as much as digits as its factorization.

15326807040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 15326807040 in words is "fifteen billion, three hundred twenty-six million, eight hundred seven thousand, forty".