90274867200 has 1152 divisors, whose sum is σ = 399724416000. Its totient is φ = 19508428800.

The previous prime is 90274867187. The next prime is 90274867201. The reversal of 90274867200 is 276847209.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (90274867201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 183858955 + ... + 183859445.

It is an arithmetic number, because the mean of its divisors is an integer number (346983000).

Almost surely, 2^90274867200 is an apocalyptic number.

90274867200 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 90274867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199862208000).

90274867200 is an abundant number, since it is smaller than the sum of its proper divisors (309449548800).

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

90274867200 is a wasteful number, since it uses less digits than its factorization.

90274867200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 90274867200 in words is "ninety billion, two hundred seventy-four million, eight hundred sixty-seven thousand, two hundred".