90689900350 has 192 divisors, whose sum is σ = 208672358400. Its totient is φ = 28630143360.

The previous prime is 90689900339. The next prime is 90689900351. The reversal of 90689900350 is 5300998609.

It is a junction number, because it is equal to n+sod(n) for n = 90689900294 and 90689900303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90689900351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68341387 + ... + 68342713.

It is an arithmetic number, because the mean of its divisors is an integer number (1086835200).

Almost surely, 2^90689900350 is an apocalyptic number.

90689900350 is an abundant number, since it is smaller than the sum of its proper divisors (117982458050).

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

90689900350 is a wasteful number, since it uses less digits than its factorization.

90689900350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 49.

The spelling of 90689900350 in words is "ninety billion, six hundred eighty-nine million, nine hundred thousand, three hundred fifty".