15960290400 has 432 divisors, whose sum is σ = 58295987568. Its totient is φ = 4105728000.

The previous prime is 15960290383. The next prime is 15960290419. The reversal of 15960290400 is 409206951.

15960290400 is a `hidden beast` number, since 1 + 5 + 9 + 602 + 9 + 0 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48218235 + ... + 48218565.

Almost surely, 2^15960290400 is an apocalyptic number.

15960290400 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 15960290400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29147993784).

15960290400 is an abundant number, since it is smaller than the sum of its proper divisors (42335697168).

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

15960290400 is a wasteful number, since it uses less digits than its factorization.

15960290400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 15960290400 in words is "fifteen billion, nine hundred sixty million, two hundred ninety thousand, four hundred".