90097781760 has 1056 divisors, whose sum is σ = 381736350720. Its totient is φ = 20084391936.

The previous prime is 90097781759. The next prime is 90097781779. The reversal of 90097781760 is 6718779009.

It is a super-2 number, since 2×90097781760² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 90097781697 and 90097781706.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 318366579 + ... + 318366861.

Almost surely, 2^90097781760 is an apocalyptic number.

90097781760 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 90097781760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190868175360).

90097781760 is an abundant number, since it is smaller than the sum of its proper divisors (291638568960).

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

90097781760 is a wasteful number, since it uses less digits than its factorization.

90097781760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 54.

The spelling of 90097781760 in words is "ninety billion, ninety-seven million, seven hundred eighty-one thousand, seven hundred sixty".