16252574368800 has 1728 divisors, whose sum is σ = 71757438230016. Its totient is φ = 3148340428800.

The previous prime is 16252574368787. The next prime is 16252574368813. The reversal of 16252574368800 is 886347525261.

It is an interprime number because it is at equal distance from previous prime (16252574368787) and next prime (16252574368813).

It is a super-2 number, since 2×16252574368800² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2353054947 + ... + 2353061853.

It is an arithmetic number, because the mean of its divisors is an integer number (41526295272).

Almost surely, 2^{16252574368800} is an apocalyptic number.

16252574368800 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 16252574368800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35878719115008).

16252574368800 is an abundant number, since it is smaller than the sum of its proper divisors (55504863861216).

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

16252574368800 is a wasteful number, since it uses less digits than its factorization.

16252574368800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7079 (or 7059 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 57.

The spelling of 16252574368800 in words is "sixteen trillion, two hundred fifty-two billion, five hundred seventy-four million, three hundred sixty-eight thousand, eight hundred".