15914949120 has 960 divisors, whose sum is σ = 68069928960. Its totient is φ = 3511517184.

The previous prime is 15914949103. The next prime is 15914949151. The reversal of 15914949120 is 2194941951.

15914949120 is a `hidden beast` number, since 1 + 59 + 1 + 494 + 91 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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, 125314497 + ... + 125314623.

It is an arithmetic number, because the mean of its divisors is an integer number (70906176).

Almost surely, 2^15914949120 is an apocalyptic number.

15914949120 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 15914949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34034964480).

15914949120 is an abundant number, since it is smaller than the sum of its proper divisors (52154979840).

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

15914949120 is a wasteful number, since it uses less digits than its factorization.

15914949120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 15914949120 in words is "fifteen billion, nine hundred fourteen million, nine hundred forty-nine thousand, one hundred twenty".