15261086880 has 480 divisors, whose sum is σ = 58398278400. Its totient is φ = 3730987008.

The previous prime is 15261086807. The next prime is 15261086887. The reversal of 15261086880 is 8868016251.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (15261086887) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40266531 + ... + 40266909.

It is an arithmetic number, because the mean of its divisors is an integer number (121663080).

Almost surely, 2^15261086880 is an apocalyptic number.

15261086880 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 15261086880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29199139200).

15261086880 is an abundant number, since it is smaller than the sum of its proper divisors (43137191520).

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

15261086880 is a wasteful number, since it uses less digits than its factorization.

15261086880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 15261086880 in words is "fifteen billion, two hundred sixty-one million, eighty-six thousand, eight hundred eighty".