190825899680 has 192 divisors, whose sum is σ = 491433578496. Its totient is φ = 69603840000.

The previous prime is 190825899637. The next prime is 190825899709. The reversal of 190825899680 is 86998528091.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59987690 + ... + 59990870.

It is an arithmetic number, because the mean of its divisors is an integer number (2559549888).

Almost surely, 2^190825899680 is an apocalyptic number.

190825899680 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 190825899680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245716789248).

190825899680 is an abundant number, since it is smaller than the sum of its proper divisors (300607678816).

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

190825899680 is a wasteful number, since it uses less digits than its factorization.

190825899680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3551 (or 3543 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 65.

The spelling of 190825899680 in words is "one hundred ninety billion, eight hundred twenty-five million, eight hundred ninety-nine thousand, six hundred eighty".