90910474200 has 1728 divisors, whose sum is σ = 419075856000. Its totient is φ = 18001751040.

The previous prime is 90910474169. The next prime is 90910474211. The reversal of 90910474200 is 247401909.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 849630547 + ... + 849630653.

It is an arithmetic number, because the mean of its divisors is an integer number (242520750).

Almost surely, 2^90910474200 is an apocalyptic number.

90910474200 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 90910474200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209537928000).

90910474200 is an abundant number, since it is smaller than the sum of its proper divisors (328165381800).

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

90910474200 is a wasteful number, since it uses less digits than its factorization.

90910474200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 90910474200 in words is "ninety billion, nine hundred ten million, four hundred seventy-four thousand, two hundred".