15442680960 has 768 divisors, whose sum is σ = 64615449600. Its totient is φ = 3323658240.

The previous prime is 15442680959. The next prime is 15442681013. The reversal of 15442680960 is 6908624451.

15442680960 is a `hidden beast` number, since 1 + 544 + 26 + 80 + 9 + 6 + 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 95 ways as a sum of consecutive naturals, for example, 54956020 + ... + 54956300.

It is an arithmetic number, because the mean of its divisors is an integer number (84134700).

Almost surely, 2^15442680960 is an apocalyptic number.

15442680960 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 15442680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32307724800).

15442680960 is an abundant number, since it is smaller than the sum of its proper divisors (49172768640).

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

15442680960 is a wasteful number, since it uses less digits than its factorization.

15442680960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 15442680960 in words is "fifteen billion, four hundred forty-two million, six hundred eighty thousand, nine hundred sixty".