15609834240 has 1152 divisors, whose sum is σ = 69623414784. Its totient is φ = 2875392000.

The previous prime is 15609834239. The next prime is 15609834257. The reversal of 15609834240 is 4243890651.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 15609834192 and 15609834201.

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, 119158975 + ... + 119159105.

It is an arithmetic number, because the mean of its divisors is an integer number (60436992).

Almost surely, 2^15609834240 is an apocalyptic number.

15609834240 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 15609834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34811707392).

15609834240 is an abundant number, since it is smaller than the sum of its proper divisors (54013580544).

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

15609834240 is a wasteful number, since it uses less digits than its factorization.

15609834240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 15609834240 in words is "fifteen billion, six hundred nine million, eight hundred thirty-four thousand, two hundred forty".