15899671678464 has 960 divisors, whose sum is σ = 55323159091200. Its totient is φ = 4471110918144.

The previous prime is 15899671678427. The next prime is 15899671678469. The reversal of 15899671678464 is 46487617699851.

15899671678464 is a `hidden beast` number, since 1 + 5 + 8 + 9 + 96 + 7 + 1 + 67 + 8 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15899671678469) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50156692834 + ... + 50156693150.

It is an arithmetic number, because the mean of its divisors is an integer number (57628290720).

Almost surely, 2^{15899671678464} is an apocalyptic number.

15899671678464 is a gapful number since it is divisible by the number (14) 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 15899671678464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27661579545600).

15899671678464 is an abundant number, since it is smaller than the sum of its proper divisors (39423487412736).

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

15899671678464 is an frugal number, since it uses more digits than its factorization.

15899671678464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 408 counting only the distinct ones).

The product of its digits is 4389396480, while the sum is 81.

The spelling of 15899671678464 in words is "fifteen trillion, eight hundred ninety-nine billion, six hundred seventy-one million, six hundred seventy-eight thousand, four hundred sixty-four".