90857740320 has 288 divisors, whose sum is σ = 331368081408. Its totient is φ = 22589743104.

The previous prime is 90857740307. The next prime is 90857740321. The reversal of 90857740320 is 2304775809.

90857740320 is a `hidden beast` number, since 9 + 0 + 8 + 577 + 40 + 32 + 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 not an unprimeable number, because it can be changed into a prime (90857740321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2602017 + ... + 2636703.

It is an arithmetic number, because the mean of its divisors is an integer number (1150583616).

Almost surely, 2^90857740320 is an apocalyptic number.

90857740320 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 90857740320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165684040704).

90857740320 is an abundant number, since it is smaller than the sum of its proper divisors (240510341088).

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

90857740320 is a wasteful number, since it uses less digits than its factorization.

90857740320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34832 (or 34821 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 90857740320 in words is "ninety billion, eight hundred fifty-seven million, seven hundred forty thousand, three hundred twenty".