90919895040 has 1280 divisors, whose sum is σ = 383672298240. Its totient is φ = 20384317440.

The previous prime is 90919895039. The next prime is 90919895047. The reversal of 90919895040 is 4059891909.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90919895047) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2932899825 + ... + 2932899855.

It is an arithmetic number, because the mean of its divisors is an integer number (299743983).

Almost surely, 2^90919895040 is an apocalyptic number.

90919895040 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 90919895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191836149120).

90919895040 is an abundant number, since it is smaller than the sum of its proper divisors (292752403200).

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

90919895040 is a wasteful number, since it uses less digits than its factorization.

90919895040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The spelling of 90919895040 in words is "ninety billion, nine hundred nineteen million, eight hundred ninety-five thousand, forty".