90077050350 has 432 divisors, whose sum is σ = 296195792256. Its totient is φ = 20289528000.

The previous prime is 90077050319. The next prime is 90077050387. The reversal of 90077050350 is 5305077009.

It is a super-2 number, since 2×90077050350² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 42268785 + ... + 42270915.

It is an arithmetic number, because the mean of its divisors is an integer number (685638408).

Almost surely, 2^90077050350 is an apocalyptic number.

90077050350 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90077050350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148097896128).

90077050350 is an abundant number, since it is smaller than the sum of its proper divisors (206118741906).

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

90077050350 is a wasteful number, since it uses less digits than its factorization.

90077050350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2243 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 33075, while the sum is 36.

The spelling of 90077050350 in words is "ninety billion, seventy-seven million, fifty thousand, three hundred fifty".