90835829700 has 1152 divisors, whose sum is σ = 369336360960. Its totient is φ = 16652697600.

The previous prime is 90835829663. The next prime is 90835829779. The reversal of 90835829700 is 792853809.

It is a super-2 number, since 2×90835829700² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 803856844 + ... + 803856956.

It is an arithmetic number, because the mean of its divisors is an integer number (320604480).

Almost surely, 2^90835829700 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 90835829700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184668180480).

90835829700 is an abundant number, since it is smaller than the sum of its proper divisors (278500531260).

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

90835829700 is a wasteful number, since it uses less digits than its factorization.

90835829700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 90835829700 in words is "ninety billion, eight hundred thirty-five million, eight hundred twenty-nine thousand, seven hundred".