90892395000 has 640 divisors, whose sum is σ = 348278515200. Its totient is φ = 21772800000.

The previous prime is 90892394987. The next prime is 90892395017. The reversal of 90892395000 is 59329809.

It is a super-2 number, since 2×90892395000² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 144044685 + ... + 144045315.

It is an arithmetic number, because the mean of its divisors is an integer number (544185180).

Almost surely, 2^90892395000 is an apocalyptic number.

90892395000 is a gapful number since it is divisible by the number (90) 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 90892395000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174139257600).

90892395000 is an abundant number, since it is smaller than the sum of its proper divisors (257386120200).

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

90892395000 is a wasteful number, since it uses less digits than its factorization.

90892395000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 90892395000 in words is "ninety billion, eight hundred ninety-two million, three hundred ninety-five thousand".