15827937840 has 1600 divisors, whose sum is σ = 72595353600. Its totient is φ = 3135283200.

The previous prime is 15827937779. The next prime is 15827937929. The reversal of 15827937840 is 4873972851.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 510578625 + ... + 510578655.

It is an arithmetic number, because the mean of its divisors is an integer number (45372096).

Almost surely, 2^15827937840 is an apocalyptic number.

15827937840 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 15827937840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36297676800).

15827937840 is an abundant number, since it is smaller than the sum of its proper divisors (56767415760).

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

15827937840 is a wasteful number, since it uses less digits than its factorization.

15827937840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 15827937840 in words is "fifteen billion, eight hundred twenty-seven million, nine hundred thirty-seven thousand, eight hundred forty".