90273268800 has 840 divisors, whose sum is σ = 389912668992. Its totient is φ = 20196864000.

The previous prime is 90273268783. The next prime is 90273268823. The reversal of 90273268800 is 886237209.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18530365 + ... + 18535235.

Almost surely, 2^90273268800 is an apocalyptic number.

90273268800 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 90273268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194956334496).

90273268800 is an abundant number, since it is smaller than the sum of its proper divisors (299639400192).

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

90273268800 is a wasteful number, since it uses less digits than its factorization.

90273268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4929 (or 4905 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 90273268800 in words is "ninety billion, two hundred seventy-three million, two hundred sixty-eight thousand, eight hundred".