15164455160400 has 480 divisors, whose sum is σ = 60378829340928. Its totient is φ = 3167852544000.

The previous prime is 15164455160399. The next prime is 15164455160423. The reversal of 15164455160400 is 406155446151.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 10341732 + ... + 11716668.

Almost surely, 2^{15164455160400} is an apocalyptic number.

15164455160400 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 15164455160400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30189414670464).

15164455160400 is an abundant number, since it is smaller than the sum of its proper divisors (45214374180528).

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

15164455160400 is a wasteful number, since it uses less digits than its factorization.

15164455160400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375079 (or 1375068 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 15164455160400 in words is "fifteen trillion, one hundred sixty-four billion, four hundred fifty-five million, one hundred sixty thousand, four hundred".