15090975648 has 384 divisors, whose sum is σ = 52901130240. Its totient is φ = 4092042240.

The previous prime is 15090975643. The next prime is 15090975707. The reversal of 15090975648 is 84657909051.

15090975648 is a `hidden beast` number, since 1 + 509 + 0 + 9 + 75 + 64 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 15090975594 and 15090975603.

It is not an unprimeable number, because it can be changed into a prime (15090975643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21838983 + ... + 21839673.

It is an arithmetic number, because the mean of its divisors is an integer number (137763360).

Almost surely, 2^15090975648 is an apocalyptic number.

15090975648 is a gapful number since it is divisible by the number (18) 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 15090975648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26450565120).

15090975648 is an abundant number, since it is smaller than the sum of its proper divisors (37810154592).

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

15090975648 is a wasteful number, since it uses less digits than its factorization.

15090975648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 15090975648 in words is "fifteen billion, ninety million, nine hundred seventy-five thousand, six hundred forty-eight".