15872151680 has 512 divisors, whose sum is σ = 49492684800. Its totient is φ = 4725227520.

The previous prime is 15872151661. The next prime is 15872151689. The reversal of 15872151680 is 8615127851.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (15872151689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154098509 + ... + 154098611.

It is an arithmetic number, because the mean of its divisors is an integer number (96665400).

Almost surely, 2^15872151680 is an apocalyptic number.

15872151680 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 15872151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24746342400).

15872151680 is an abundant number, since it is smaller than the sum of its proper divisors (33620533120).

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

15872151680 is a wasteful number, since it uses less digits than its factorization.

15872151680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 44.

The spelling of 15872151680 in words is "fifteen billion, eight hundred seventy-two million, one hundred fifty-one thousand, six hundred eighty".