15009797314080 has 480 divisors, whose sum is σ = 55928843530560. Its totient is φ = 3780472227840.

The previous prime is 15009797314063. The next prime is 15009797314091. The reversal of 15009797314080 is 8041379790051.

It is a happy number.

15009797314080 is a `hidden beast` number, since 1 + 500 + 9 + 7 + 97 + 3 + 1 + 40 + 8 + 0 = 666.

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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 81413362 + ... + 81597518.

It is an arithmetic number, because the mean of its divisors is an integer number (116518424022).

Almost surely, 2^{15009797314080} is an apocalyptic number.

15009797314080 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 15009797314080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27964421765280).

15009797314080 is an abundant number, since it is smaller than the sum of its proper divisors (40919046216480).

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

15009797314080 is a wasteful number, since it uses less digits than its factorization.

15009797314080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184534 (or 184517 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 15009797314080 in words is "fifteen trillion, nine billion, seven hundred ninety-seven million, three hundred fourteen thousand, eighty".