90292869120 has 192 divisors, whose sum is σ = 294322260960. Its totient is φ = 23623368704.

The previous prime is 90292869113. The next prime is 90292869151. The reversal of 90292869120 is 2196829209.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 90292869120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1600432 + ... + 1655888.

Almost surely, 2^90292869120 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 90292869120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147161130480).

90292869120 is an abundant number, since it is smaller than the sum of its proper divisors (204029391840).

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

90292869120 is a wasteful number, since it uses less digits than its factorization.

90292869120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55540 (or 55520 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The spelling of 90292869120 in words is "ninety billion, two hundred ninety-two million, eight hundred sixty-nine thousand, one hundred twenty".