90834718800 has 960 divisors, whose sum is σ = 362800779264. Its totient is φ = 18977587200.

The previous prime is 90834718781. The next prime is 90834718813. The reversal of 90834718800 is 881743809.

It is a super-2 number, since 2×90834718800² (a number of 23 digits) contains 22 as substring.

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 90834718800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 693394735 + ... + 693394865.

Almost surely, 2^90834718800 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 90834718800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181400389632).

90834718800 is an abundant number, since it is smaller than the sum of its proper divisors (271966060464).

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

90834718800 is a wasteful number, since it uses less digits than its factorization.

90834718800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 90834718800 in words is "ninety billion, eight hundred thirty-four million, seven hundred eighteen thousand, eight hundred".