15704100416 has 56 divisors (see below), whose sum is σ = 32320123320. Its totient is φ = 7561838592.

The previous prime is 15704100397. The next prime is 15704100427. The reversal of 15704100416 is 61400140751.

It can be written as a sum of positive squares in 4 ways, for example, as 2039425600 + 13664674816 = 45160^2 + 116896^2 .

It is a super-2 number, since 2×15704100416² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 726176 + ... + 747488.

Almost surely, 2^15704100416 is an apocalyptic number.

15704100416 is a gapful number since it is divisible by the number (16) 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 15704100416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16160061660).

15704100416 is an abundant number, since it is smaller than the sum of its proper divisors (16616022904).

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

15704100416 is a wasteful number, since it uses less digits than its factorization.

15704100416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21751 (or 21741 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The spelling of 15704100416 in words is "fifteen billion, seven hundred four million, one hundred thousand, four hundred sixteen".