15945145920 has 896 divisors, whose sum is σ = 66363494400. Its totient is φ = 3561062400.

The previous prime is 15945145907. The next prime is 15945145973. The reversal of 15945145920 is 2954154951.

15945145920 is a `hidden beast` number, since 1 + 5 + 9 + 4 + 51 + 4 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 114713211 + ... + 114713349.

It is an arithmetic number, because the mean of its divisors is an integer number (74066400).

Almost surely, 2^15945145920 is an apocalyptic number.

15945145920 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 15945145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33181747200).

15945145920 is an abundant number, since it is smaller than the sum of its proper divisors (50418348480).

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

15945145920 is a wasteful number, since it uses less digits than its factorization.

15945145920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 15945145920 in words is "fifteen billion, nine hundred forty-five million, one hundred forty-five thousand, nine hundred twenty".