90130656000 has 1152 divisors, whose sum is σ = 380187924480. Its totient is φ = 18382848000.

The previous prime is 90130655999. The next prime is 90130656001. The reversal of 90130656000 is 65603109.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (90130655999) and next prime (90130656001).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (90130656001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 657887932 + ... + 657888068.

It is an arithmetic number, because the mean of its divisors is an integer number (330024240).

Almost surely, 2^90130656000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90130656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190093962240).

90130656000 is an abundant number, since it is smaller than the sum of its proper divisors (290057268480).

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

90130656000 is a wasteful number, since it uses less digits than its factorization.

90130656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The spelling of 90130656000 in words is "ninety billion, one hundred thirty million, six hundred fifty-six thousand".