15952216688640 has 768 divisors, whose sum is σ = 57656551680000. Its totient is φ = 4183088431104.

The previous prime is 15952216688533. The next prime is 15952216688687. The reversal of 15952216688640 is 4688661225951.

15952216688640 is a `hidden beast` number, since 1 + 5 + 9 + 522 + 1 + 6 + 68 + 8 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4749095281 + ... + 4749098639.

It is an arithmetic number, because the mean of its divisors is an integer number (75073635000).

Almost surely, 2^{15952216688640} is an apocalyptic number.

15952216688640 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 15952216688640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28828275840000).

15952216688640 is an abundant number, since it is smaller than the sum of its proper divisors (41704334991360).

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

15952216688640 is a wasteful number, since it uses less digits than its factorization.

15952216688640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3677 (or 3651 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 15952216688640 in words is "fifteen trillion, nine hundred fifty-two billion, two hundred sixteen million, six hundred eighty-eight thousand, six hundred forty".