90020851200 has 960 divisors, whose sum is σ = 381895557120. Its totient is φ = 20344504320.

The previous prime is 90020851183. The next prime is 90020851303. The reversal of 90020851200 is 215802009.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 307238254 + ... + 307238546.

It is an arithmetic number, because the mean of its divisors is an integer number (397807872).

Almost surely, 2^90020851200 is an apocalyptic number.

90020851200 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 90020851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190947778560).

90020851200 is an abundant number, since it is smaller than the sum of its proper divisors (291874705920).

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

90020851200 is a wasteful number, since it uses less digits than its factorization.

90020851200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 90020851200 in words is "ninety billion, twenty million, eight hundred fifty-one thousand, two hundred".