15225749760 has 576 divisors, whose sum is σ = 55629504000. Its totient is φ = 3520856064.

The previous prime is 15225749743. The next prime is 15225749771. The reversal of 15225749760 is 6794752251.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102186166 + ... + 102186314.

It is an arithmetic number, because the mean of its divisors is an integer number (96579000).

Almost surely, 2^15225749760 is an apocalyptic number.

15225749760 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 15225749760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27814752000).

15225749760 is an abundant number, since it is smaller than the sum of its proper divisors (40403754240).

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

15225749760 is a wasteful number, since it uses less digits than its factorization.

15225749760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The spelling of 15225749760 in words is "fifteen billion, two hundred twenty-five million, seven hundred forty-nine thousand, seven hundred sixty".