187993172400 has 360 divisors, whose sum is σ = 662914160064. Its totient is φ = 45164044800.

The previous prime is 187993172399. The next prime is 187993172429. The reversal of 187993172400 is 4271399781.

It is a super-2 number, since 2×187993172400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 212902359 + ... + 212903241.

Almost surely, 2^187993172400 is an apocalyptic number.

187993172400 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 187993172400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331457080032).

187993172400 is an abundant number, since it is smaller than the sum of its proper divisors (474920987664).

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

187993172400 is a wasteful number, since it uses less digits than its factorization.

187993172400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 51.

The spelling of 187993172400 in words is "one hundred eighty-seven billion, nine hundred ninety-three million, one hundred seventy-two thousand, four hundred".