15668640000 has 1080 divisors, whose sum is σ = 65080567552. Its totient is φ = 3732480000.

The previous prime is 15668639981. The next prime is 15668640023. The reversal of 15668640000 is 4686651.

15668640000 is a `hidden beast` number, since 1 + 5 + 6 + 6 + 8 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 505439985 + ... + 505440015.

Almost surely, 2^15668640000 is an apocalyptic number.

15668640000 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 15668640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32540283776).

15668640000 is an abundant number, since it is smaller than the sum of its proper divisors (49411927552).

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

15668640000 is an frugal number, since it uses more digits than its factorization.

15668640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 15668640000 in words is "fifteen billion, six hundred sixty-eight million, six hundred forty thousand".