90358790760 has 512 divisors, whose sum is σ = 356949504000. Its totient is φ = 19900836864.

The previous prime is 90358790741. The next prime is 90358790801. The reversal of 90358790760 is 6709785309.

It is a super-2 number, since 2×90358790760² (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 = 90358790697 and 90358790706.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29928531 + ... + 29931549.

It is an arithmetic number, because the mean of its divisors is an integer number (697167000).

Almost surely, 2^90358790760 is an apocalyptic number.

90358790760 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 90358790760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178474752000).

90358790760 is an abundant number, since it is smaller than the sum of its proper divisors (266590713240).

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

90358790760 is a wasteful number, since it uses less digits than its factorization.

90358790760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3190 (or 3180 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 90358790760 in words is "ninety billion, three hundred fifty-eight million, seven hundred ninety thousand, seven hundred sixty".