10161598590990 has 256 divisors, whose sum is σ = 33861003264000. Its totient is φ = 2106689316480.

The previous prime is 10161598590931. The next prime is 10161598591033. The reversal of 10161598590990 is 9909589516101.

10161598590990 is a `hidden beast` number, since 1 + 0 + 1 + 615 + 9 + 8 + 5 + 9 + 0 + 9 + 9 + 0 = 666.

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

It is a congruent number.

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, 8570121 + ... + 9683499.

It is an arithmetic number, because the mean of its divisors is an integer number (132269544000).

Almost surely, 2^{10161598590990} is an apocalyptic number.

10161598590990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10161598590990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16930501632000).

10161598590990 is an abundant number, since it is smaller than the sum of its proper divisors (23699404673010).

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

10161598590990 is a wasteful number, since it uses less digits than its factorization.

10161598590990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113852 (or 1113846 counting only the distinct ones).

The product of its (nonzero) digits is 7873200, while the sum is 63.

The spelling of 10161598590990 in words is "ten trillion, one hundred sixty-one billion, five hundred ninety-eight million, five hundred ninety thousand, nine hundred ninety".