15688312640 has 896 divisors, whose sum is σ = 55155437568. Its totient is φ = 4087480320.

The previous prime is 15688312609. The next prime is 15688312649. The reversal of 15688312640 is 4621388651.

It is a super-2 number, since 2×15688312640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 15688312591 and 15688312600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15688312649) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 234153887 + ... + 234153953.

It is an arithmetic number, because the mean of its divisors is an integer number (61557408).

Almost surely, 2^15688312640 is an apocalyptic number.

15688312640 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 15688312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27577718784).

15688312640 is an abundant number, since it is smaller than the sum of its proper divisors (39467124928).

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

15688312640 is a wasteful number, since it uses less digits than its factorization.

15688312640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The spelling of 15688312640 in words is "fifteen billion, six hundred eighty-eight million, three hundred twelve thousand, six hundred forty".