151680253612800 has 1728 divisors, whose sum is σ = 572193952243200. Its totient is φ = 35059335168000.

The previous prime is 151680253612799. The next prime is 151680253612813. The reversal of 151680253612800 is 8216352086151.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 151680253612800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 160169221927 + ... + 160169222873.

It is an arithmetic number, because the mean of its divisors is an integer number (331130759400).

Almost surely, 2^{151680253612800} is an apocalyptic number.

151680253612800 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 151680253612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286096976121600).

151680253612800 is an abundant number, since it is smaller than the sum of its proper divisors (420513698630400).

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

151680253612800 is a wasteful number, since it uses less digits than its factorization.

151680253612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 151680253612800 in words is "one hundred fifty-one trillion, six hundred eighty billion, two hundred fifty-three million, six hundred twelve thousand, eight hundred".