90095962512 has 160 divisors (see below), whose sum is σ = 245332690560. Its totient is φ = 28449792000.

The previous prime is 90095962511. The next prime is 90095962529. The reversal of 90095962512 is 21526959009.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (90095962511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41690712 + ... + 41692872.

It is an arithmetic number, because the mean of its divisors is an integer number (1533329316).

Almost surely, 2^90095962512 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 90095962512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122666345280).

90095962512 is an abundant number, since it is smaller than the sum of its proper divisors (155236728048).

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

90095962512 is a wasteful number, since it uses less digits than its factorization.

90095962512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2753 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 48.

The spelling of 90095962512 in words is "ninety billion, ninety-five million, nine hundred sixty-two thousand, five hundred twelve".