90455274000 has 1440 divisors, whose sum is σ = 414192489984. Its totient is φ = 18255283200.

The previous prime is 90455273969. The next prime is 90455274011. The reversal of 90455274000 is 47255409.

90455274000 is a `hidden beast` number, since 90 + 4 + 5 + 527 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3932837989 + ... + 3932838011.

Almost surely, 2^90455274000 is an apocalyptic number.

90455274000 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 90455274000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207096244992).

90455274000 is an abundant number, since it is smaller than the sum of its proper divisors (323737215984).

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

90455274000 is a wasteful number, since it uses less digits than its factorization.

90455274000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 90455274000 in words is "ninety billion, four hundred fifty-five million, two hundred seventy-four thousand".