90850711296 has 144 divisors (see below), whose sum is σ = 269494041600. Its totient is φ = 27001995264.

The previous prime is 90850711283. The next prime is 90850711319. The reversal of 90850711296 is 69211705809.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64945 + ... + 431183.

It is an arithmetic number, because the mean of its divisors is an integer number (1871486400).

Almost surely, 2^90850711296 is an apocalyptic number.

90850711296 is a gapful number since it is divisible by the number (96) 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 90850711296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134747020800).

90850711296 is an abundant number, since it is smaller than the sum of its proper divisors (178643330304).

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

90850711296 is a wasteful number, since it uses less digits than its factorization.

90850711296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366294 (or 366280 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 48.

The spelling of 90850711296 in words is "ninety billion, eight hundred fifty million, seven hundred eleven thousand, two hundred ninety-six".