199031253442560 has 1792 divisors, whose sum is σ = 887910829793280. Its totient is φ = 41090961899520.

The previous prime is 199031253442547. The next prime is 199031253442639. The reversal of 199031253442560 is 65244352130991.

199031253442560 is a `hidden beast` number, since 1 + 9 + 9 + 0 + 3 + 1 + 2 + 5 + 34 + 42 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a super-2 number, since 2×199031253442560² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 199031253442497 and 199031253442506.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13369459437 + ... + 13369474323.

Almost surely, 2^{199031253442560} is an apocalyptic number.

199031253442560 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 199031253442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443955414896640).

199031253442560 is an abundant number, since it is smaller than the sum of its proper divisors (688879576350720).

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

199031253442560 is a wasteful number, since it uses less digits than its factorization.

199031253442560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15102 (or 15072 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 199031253442560 in words is "one hundred ninety-nine trillion, thirty-one billion, two hundred fifty-three million, four hundred forty-two thousand, five hundred sixty".