15946727040 has 256 divisors, whose sum is σ = 56595801600. Its totient is φ = 4243599360.

The previous prime is 15946727033. The next prime is 15946727047. The reversal of 15946727040 is 4072764951.

It is an interprime number because it is at equal distance from previous prime (15946727033) and next prime (15946727047).

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

It is not an unprimeable number, because it can be changed into a prime (15946727047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15741574 + ... + 15742586.

It is an arithmetic number, because the mean of its divisors is an integer number (221077350).

Almost surely, 2^15946727040 is an apocalyptic number.

15946727040 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 15946727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28297900800).

15946727040 is an abundant number, since it is smaller than the sum of its proper divisors (40649074560).

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

15946727040 is a wasteful number, since it uses less digits than its factorization.

15946727040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 15946727040 in words is "fifteen billion, nine hundred forty-six million, seven hundred twenty-seven thousand, forty".