15161164200 has 384 divisors, whose sum is σ = 64275052800. Its totient is φ = 3198735360.

The previous prime is 15161164181. The next prime is 15161164229. The reversal of 15161164200 is 246116151.

15161164200 is a `hidden beast` number, since 1 + 5 + 1 + 6 + 11 + 642 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 475974 + ... + 506826.

It is an arithmetic number, because the mean of its divisors is an integer number (167382950).

Almost surely, 2^15161164200 is an apocalyptic number.

15161164200 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 15161164200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32137526400).

15161164200 is an abundant number, since it is smaller than the sum of its proper divisors (49113888600).

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

15161164200 is a wasteful number, since it uses less digits than its factorization.

15161164200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30898 (or 30883 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 15161164200 in words is "fifteen billion, one hundred sixty-one million, one hundred sixty-four thousand, two hundred".