90753425672 has 192 divisors, whose sum is σ = 225026424000. Its totient is φ = 33916506624.

The previous prime is 90753425657. The next prime is 90753425687. The reversal of 90753425672 is 27652435709.

It is an interprime number because it is at equal distance from previous prime (90753425657) and next prime (90753425687).

It is a self number, because there is not a number n which added to its sum of digits gives 90753425672.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40568138 + ... + 40570374.

It is an arithmetic number, because the mean of its divisors is an integer number (1172012625).

Almost surely, 2^90753425672 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 90753425672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112513212000).

90753425672 is an abundant number, since it is smaller than the sum of its proper divisors (134272998328).

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

90753425672 is a wasteful number, since it uses less digits than its factorization.

90753425672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708 (or 2697 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 50.

The spelling of 90753425672 in words is "ninety billion, seven hundred fifty-three million, four hundred twenty-five thousand, six hundred seventy-two".