15213090816 has 576 divisors, whose sum is σ = 56952080640. Its totient is φ = 3941498880.

The previous prime is 15213090757. The next prime is 15213090821. The reversal of 15213090816 is 61809031251.

15213090816 is a `hidden beast` number, since 1 + 521 + 30 + 90 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 38319930 + ... + 38320326.

It is an arithmetic number, because the mean of its divisors is an integer number (98875140).

Almost surely, 2^15213090816 is an apocalyptic number.

15213090816 is a gapful number since it is divisible by the number (16) 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 15213090816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28476040320).

15213090816 is an abundant number, since it is smaller than the sum of its proper divisors (41738989824).

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

15213090816 is an equidigital number, since it uses as much as digits as its factorization.

15213090816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 15213090816 in words is "fifteen billion, two hundred thirteen million, ninety thousand, eight hundred sixteen".