15716646400 has 480 divisors, whose sum is σ = 48759879168. Its totient is φ = 4888166400.

The previous prime is 15716646397. The next prime is 15716646403. The reversal of 15716646400 is 464661751.

It is an interprime number because it is at equal distance from previous prime (15716646397) and next prime (15716646403).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15716646403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119974335 + ... + 119974465.

Almost surely, 2^15716646400 is an apocalyptic number.

15716646400 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 15716646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24379939584).

15716646400 is an abundant number, since it is smaller than the sum of its proper divisors (33043232768).

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

15716646400 is a wasteful number, since it uses less digits than its factorization.

15716646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 15716646400 in words is "fifteen billion, seven hundred sixteen million, six hundred forty-six thousand, four hundred".