90271372800 has 480 divisors, whose sum is σ = 349161652224. Its totient is φ = 20127744000.

The previous prime is 90271372757. The next prime is 90271372823. The reversal of 90271372800 is 827317209.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11016705 + ... + 11024895.

Almost surely, 2^90271372800 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 90271372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174580826112).

90271372800 is an abundant number, since it is smaller than the sum of its proper divisors (258890279424).

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

90271372800 is a wasteful number, since it uses less digits than its factorization.

90271372800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8270 (or 8249 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The spelling of 90271372800 in words is "ninety billion, two hundred seventy-one million, three hundred seventy-two thousand, eight hundred".