90014861760 has 224 divisors, whose sum is σ = 288458452800. Its totient is φ = 23781507072.

The previous prime is 90014861747. The next prime is 90014861767. The reversal of 90014861760 is 6716841009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90014861767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57961144 + ... + 57962696.

It is an arithmetic number, because the mean of its divisors is an integer number (1287760950).

Almost surely, 2^90014861760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90014861760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144229226400).

90014861760 is an abundant number, since it is smaller than the sum of its proper divisors (198443591040).

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

90014861760 is a wasteful number, since it uses less digits than its factorization.

90014861760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095 (or 2085 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 90014861760 in words is "ninety billion, fourteen million, eight hundred sixty-one thousand, seven hundred sixty".