90772822140 has 384 divisors, whose sum is σ = 342196807680. Its totient is φ = 17362944000.

The previous prime is 90772822087. The next prime is 90772822169. The reversal of 90772822140 is 4122827709.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 90772822092 and 90772822101.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 24082176 + ... + 24085944.

It is an arithmetic number, because the mean of its divisors is an integer number (891137520).

Almost surely, 2^90772822140 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 90772822140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171098403840).

90772822140 is an abundant number, since it is smaller than the sum of its proper divisors (251423985540).

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

90772822140 is a wasteful number, since it uses less digits than its factorization.

90772822140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4213 (or 4211 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 90772822140 in words is "ninety billion, seven hundred seventy-two million, eight hundred twenty-two thousand, one hundred forty".