15900903642720 has 768 divisors, whose sum is σ = 53890278801408. Its totient is φ = 3932156067840.

The previous prime is 15900903642709. The next prime is 15900903642721. The reversal of 15900903642720 is 2724630900951.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 15900903642720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15900903642721) 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, 16970014092 + ... + 16970015028.

It is an arithmetic number, because the mean of its divisors is an integer number (70169633856).

Almost surely, 2^{15900903642720} is an apocalyptic number.

15900903642720 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 15900903642720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26945139400704).

15900903642720 is an abundant number, since it is smaller than the sum of its proper divisors (37989375158688).

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

15900903642720 is a wasteful number, since it uses less digits than its factorization.

15900903642720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 15900903642720 in words is "fifteen trillion, nine hundred billion, nine hundred three million, six hundred forty-two thousand, seven hundred twenty".