15930378240 has 576 divisors, whose sum is σ = 62517873600. Its totient is φ = 3443392512.

The previous prime is 15930378227. The next prime is 15930378257. The reversal of 15930378240 is 4287303951.

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 = 15930378192 and 15930378201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28600042 + ... + 28600598.

It is an arithmetic number, because the mean of its divisors is an integer number (108537975).

Almost surely, 2^15930378240 is an apocalyptic number.

15930378240 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 15930378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31258936800).

15930378240 is an abundant number, since it is smaller than the sum of its proper divisors (46587495360).

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

15930378240 is a wasteful number, since it uses less digits than its factorization.

15930378240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 15930378240 in words is "fifteen billion, nine hundred thirty million, three hundred seventy-eight thousand, two hundred forty".