2187457166400 has 504 divisors, whose sum is σ = 8142951651072. Its totient is φ = 513182208000.

The previous prime is 2187457166357. The next prime is 2187457166437. The reversal of 2187457166400 is 46617547812.

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 71 ways as a sum of consecutive naturals, for example, 17944054 + ... + 18065546.

Almost surely, 2^{2187457166400} is an apocalyptic number.

2187457166400 is a gapful number since it is divisible by the number (20) 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 2187457166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4071475825536).

2187457166400 is an abundant number, since it is smaller than the sum of its proper divisors (5955494484672).

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

2187457166400 is a wasteful number, since it uses less digits than its factorization.

2187457166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121571 (or 121545 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 2187457166400 in words is "two trillion, one hundred eighty-seven billion, four hundred fifty-seven million, one hundred sixty-six thousand, four hundred".