90530773200 has 1440 divisors, whose sum is σ = 411747753600. Its totient is φ = 18749767680.

The previous prime is 90530773169. The next prime is 90530773261. The reversal of 90530773200 is 237703509.

It is a happy number.

90530773200 is a `hidden beast` number, since 90 + 530 + 7 + 7 + 32 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 260895427 + ... + 260895773.

It is an arithmetic number, because the mean of its divisors is an integer number (285935940).

Almost surely, 2^90530773200 is an apocalyptic number.

90530773200 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 90530773200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205873876800).

90530773200 is an abundant number, since it is smaller than the sum of its proper divisors (321216980400).

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

90530773200 is a wasteful number, since it uses less digits than its factorization.

90530773200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

The spelling of 90530773200 in words is "ninety billion, five hundred thirty million, seven hundred seventy-three thousand, two hundred".