15064940880 has 480 divisors, whose sum is σ = 57723269760. Its totient is φ = 3487518720.

The previous prime is 15064940873. The next prime is 15064940887. The reversal of 15064940880 is 8804946051.

15064940880 is a `hidden beast` number, since 150 + 6 + 494 + 0 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (15064940873) and next prime (15064940887).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15064940887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24575454 + ... + 24576066.

It is an arithmetic number, because the mean of its divisors is an integer number (120256812).

Almost surely, 2^15064940880 is an apocalyptic number.

15064940880 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 15064940880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28861634880).

15064940880 is an abundant number, since it is smaller than the sum of its proper divisors (42658328880).

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

15064940880 is a wasteful number, since it uses less digits than its factorization.

15064940880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 15064940880 in words is "fifteen billion, sixty-four million, nine hundred forty thousand, eight hundred eighty".