15609603902400 has 504 divisors, whose sum is σ = 57043695928128. Its totient is φ = 4046008320000.

The previous prime is 15609603902377. The next prime is 15609603902419. The reversal of 15609603902400 is 420930690651.

15609603902400 is a `hidden beast` number, since 1 + 5 + 609 + 6 + 0 + 39 + 0 + 2 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 159949620 + ... + 160047180.

Almost surely, 2^{15609603902400} is an apocalyptic number.

15609603902400 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 15609603902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28521847964064).

15609603902400 is an abundant number, since it is smaller than the sum of its proper divisors (41434092025728).

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

15609603902400 is a wasteful number, since it uses less digits than its factorization.

15609603902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97901 (or 97883 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 15609603902400 in words is "fifteen trillion, six hundred nine billion, six hundred three million, nine hundred two thousand, four hundred".