90234777600 has 1560 divisors, whose sum is σ = 389340116352. Its totient is φ = 20437401600.

The previous prime is 90234777593. The next prime is 90234777613. The reversal of 90234777600 is 677743209.

It is a happy number.

90234777600 is a `hidden beast` number, since 9 + 0 + 2 + 34 + 7 + 7 + 7 + 600 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2098483179 + ... + 2098483221.

Almost surely, 2^90234777600 is an apocalyptic number.

90234777600 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 90234777600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194670058176).

90234777600 is an abundant number, since it is smaller than the sum of its proper divisors (299105338752).

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

90234777600 is a wasteful number, since it uses less digits than its factorization.

90234777600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 90234777600 in words is "ninety billion, two hundred thirty-four million, seven hundred seventy-seven thousand, six hundred".