90919561896 has 192 divisors, whose sum is σ = 253547658000. Its totient is φ = 29421490176.

The previous prime is 90919561877. The next prime is 90919561907. The reversal of 90919561896 is 69816591909.

It is a happy number.

90919561896 is a `hidden beast` number, since 9 + 0 + 9 + 1 + 9 + 5 + 618 + 9 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 74939062500 + 15980499396 = 273750^2 + 126414^2 .

It is a super-2 number, since 2×90919561896² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260514330 + ... + 260514678.

Almost surely, 2^90919561896 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 90919561896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126773829000).

90919561896 is an abundant number, since it is smaller than the sum of its proper divisors (162628096104).

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

90919561896 is a wasteful number, since it uses less digits than its factorization.

90919561896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 63.

The spelling of 90919561896 in words is "ninety billion, nine hundred nineteen million, five hundred sixty-one thousand, eight hundred ninety-six".