90275137920 has 288 divisors, whose sum is σ = 342649485360. Its totient is φ = 21884712960.

The previous prime is 90275137853. The next prime is 90275137921. The reversal of 90275137920 is 2973157209.

90275137920 is a `hidden beast` number, since 9 + 0 + 275 + 1 + 379 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90275137921) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 632197 + ... + 761723.

Almost surely, 2^90275137920 is an apocalyptic number.

90275137920 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 90275137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171324742680).

90275137920 is an abundant number, since it is smaller than the sum of its proper divisors (252374347440).

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

90275137920 is a wasteful number, since it uses less digits than its factorization.

90275137920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129574 (or 129548 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 90275137920 in words is "ninety billion, two hundred seventy-five million, one hundred thirty-seven thousand, nine hundred twenty".