90090270295200 has 2160 divisors, whose sum is σ = 394169358046464. Its totient is φ = 19954858291200.

The previous prime is 90090270295199. The next prime is 90090270295213. The reversal of 90090270295200 is 259207209009.

It is a happy number.

90090270295200 is a `hidden beast` number, since 9 + 0 + 0 + 90 + 2 + 70 + 295 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 359 ways as a sum of consecutive naturals, for example, 15371140270 + ... + 15371146130.

Almost surely, 2^{90090270295200} is an apocalyptic number.

90090270295200 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 90090270295200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197084679023232).

90090270295200 is an abundant number, since it is smaller than the sum of its proper divisors (304079087751264).

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

90090270295200 is a wasteful number, since it uses less digits than its factorization.

90090270295200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6057 (or 6028 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 90090270295200 in words is "ninety trillion, ninety billion, two hundred seventy million, two hundred ninety-five thousand, two hundred".