90218620800 has 1536 divisors, whose sum is σ = 419630284800. Its totient is φ = 18385920000.

The previous prime is 90218620799. The next prime is 90218620819. The reversal of 90218620800 is 802681209.

90218620800 is a `hidden beast` number, since 9 + 0 + 21 + 8 + 620 + 8 + 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 191 ways as a sum of consecutive naturals, for example, 472348705 + ... + 472348895.

It is an arithmetic number, because the mean of its divisors is an integer number (273196800).

Almost surely, 2^90218620800 is an apocalyptic number.

90218620800 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 90218620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209815142400).

90218620800 is an abundant number, since it is smaller than the sum of its proper divisors (329411664000).

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

90218620800 is a wasteful number, since it uses less digits than its factorization.

90218620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 90218620800 in words is "ninety billion, two hundred eighteen million, six hundred twenty thousand, eight hundred".