15120676064 has 288 divisors, whose sum is σ = 36125429760. Its totient is φ = 6200064000.

The previous prime is 15120675989. The next prime is 15120676073. The reversal of 15120676064 is 46067602151.

It is a Harshad number since it is a multiple of its sum of digits (38).

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, 149709614 + ... + 149709714.

It is an arithmetic number, because the mean of its divisors is an integer number (125435520).

Almost surely, 2^15120676064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15120676064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18062714880).

15120676064 is an abundant number, since it is smaller than the sum of its proper divisors (21004753696).

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

15120676064 is a wasteful number, since it uses less digits than its factorization.

15120676064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 15120676064 in words is "fifteen billion, one hundred twenty million, six hundred seventy-six thousand, sixty-four".