15664405611360 has 384 divisors, whose sum is σ = 53982358585344. Its totient is φ = 3786601052160.

The previous prime is 15664405611341. The next prime is 15664405611373. The reversal of 15664405611360 is 6311650446651.

It is a super-3 number, since 3×15664405611360³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

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, 3079298737 + ... + 3079303823.

It is an arithmetic number, because the mean of its divisors is an integer number (140579058816).

Almost surely, 2^{15664405611360} is an apocalyptic number.

15664405611360 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 15664405611360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26991179292672).

15664405611360 is an abundant number, since it is smaller than the sum of its proper divisors (38317952973984).

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

15664405611360 is a wasteful number, since it uses less digits than its factorization.

15664405611360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6666 (or 6658 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 15664405611360 in words is "fifteen trillion, six hundred sixty-four billion, four hundred five million, six hundred eleven thousand, three hundred sixty".