199257391872 has 864 divisors, whose sum is σ = 764049162240. Its totient is φ = 48405012480.

The previous prime is 199257391859. The next prime is 199257391889. The reversal of 199257391872 is 278193752991.

199257391872 is a `hidden beast` number, since 199 + 2 + 57 + 391 + 8 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 191777529 + ... + 191778567.

It is an arithmetic number, because the mean of its divisors is an integer number (884316160).

Almost surely, 2^199257391872 is an apocalyptic number.

199257391872 is a gapful number since it is divisible by the number (12) 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 199257391872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382024581120).

199257391872 is an abundant number, since it is smaller than the sum of its proper divisors (564791770368).

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

199257391872 is a wasteful number, since it uses less digits than its factorization.

199257391872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1132 counting only the distinct ones).

The product of its digits is 17146080, while the sum is 63.

The spelling of 199257391872 in words is "one hundred ninety-nine billion, two hundred fifty-seven million, three hundred ninety-one thousand, eight hundred seventy-two".