190189000013760 has 1344 divisors, whose sum is σ = 762606232667136. Its totient is φ = 43041167769600.

The previous prime is 190189000013729. The next prime is 190189000013791. The reversal of 190189000013760 is 67310000981091.

190189000013760 is a `hidden beast` number, since 190 + 1 + 8 + 90 + 0 + 0 + 0 + 1 + 376 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (190189000013729) and next prime (190189000013791).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 73347087024 + ... + 73347089616.

Almost surely, 2^{190189000013760} is an apocalyptic number.

190189000013760 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 190189000013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381303116333568).

190189000013760 is an abundant number, since it is smaller than the sum of its proper divisors (572417232653376).

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

190189000013760 is a wasteful number, since it uses less digits than its factorization.

190189000013760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5034 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 190189000013760 in words is "one hundred ninety trillion, one hundred eighty-nine billion, thirteen thousand, seven hundred sixty".