15819400900 has 36 divisors (see below), whose sum is σ = 34333591572. Its totient is φ = 6326748160.

The previous prime is 15819400871. The next prime is 15819400913. The reversal of 15819400900 is 900491851.

It can be written as a sum of positive squares in 6 ways, for example, as 3511273536 + 12308127364 = 59256^2 + 110942^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 15819400900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1120284 + ... + 1134316.

It is an arithmetic number, because the mean of its divisors is an integer number (953710877).

Almost surely, 2^15819400900 is an apocalyptic number.

15819400900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15819400900 is an abundant number, since it is smaller than the sum of its proper divisors (18514190672).

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

15819400900 is a wasteful number, since it uses less digits than its factorization.

15819400900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25320 (or 25313 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 37.

The spelling of 15819400900 in words is "fifteen billion, eight hundred nineteen million, four hundred thousand, nine hundred".