15007485055680 has 1008 divisors, whose sum is σ = 58668524328960. Its totient is φ = 3649377079296.

The previous prime is 15007485055669. The next prime is 15007485055697. The reversal of 15007485055680 is 8655058470051.

15007485055680 is a `hidden beast` number, since 1 + 5 + 0 + 0 + 7 + 4 + 8 + 5 + 0 + 556 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1090732641 + ... + 1090746399.

It is an arithmetic number, because the mean of its divisors is an integer number (58202901120).

Almost surely, 2^{15007485055680} is an apocalyptic number.

15007485055680 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 15007485055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29334262164480).

15007485055680 is an abundant number, since it is smaller than the sum of its proper divisors (43661039273280).

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

15007485055680 is a wasteful number, since it uses less digits than its factorization.

15007485055680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13900 (or 13865 counting only the distinct ones).

The product of its (nonzero) digits is 6720000, while the sum is 54.

The spelling of 15007485055680 in words is "fifteen trillion, seven billion, four hundred eighty-five million, fifty-five thousand, six hundred eighty".