15070968001800 has 432 divisors, whose sum is σ = 53449509793680. Its totient is φ = 3805113888000.

The previous prime is 15070968001681. The next prime is 15070968001847. The reversal of 15070968001800 is 810086907051.

15070968001800 is a `hidden beast` number, since 1 + 507 + 0 + 9 + 68 + 0 + 0 + 1 + 80 + 0 = 666.

It is a super-2 number, since 2×15070968001800² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1254757795 + ... + 1254769805.

It is an arithmetic number, because the mean of its divisors is an integer number (123725717115).

Almost surely, 2^{15070968001800} is an apocalyptic number.

15070968001800 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 15070968001800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26724754896840).

15070968001800 is an abundant number, since it is smaller than the sum of its proper divisors (38378541791880).

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

15070968001800 is a wasteful number, since it uses less digits than its factorization.

15070968001800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14002 (or 13971 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 15070968001800 in words is "fifteen trillion, seventy billion, nine hundred sixty-eight million, one thousand, eight hundred".