190225157760 has 768 divisors, whose sum is σ = 750329723520. Its totient is φ = 43993497600.

The previous prime is 190225157729. The next prime is 190225157779. The reversal of 190225157760 is 67751522091.

190225157760 is a `hidden beast` number, since 1 + 9 + 0 + 2 + 2 + 515 + 77 + 60 = 666.

It is a super-2 number, since 2×190225157760² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 124248195 + ... + 124249725.

Almost surely, 2^190225157760 is an apocalyptic number.

190225157760 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 190225157760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375164861760).

190225157760 is an abundant number, since it is smaller than the sum of its proper divisors (560104565760).

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

190225157760 is a wasteful number, since it uses less digits than its factorization.

190225157760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 190225157760 in words is "one hundred ninety billion, two hundred twenty-five million, one hundred fifty-seven thousand, seven hundred sixty".