90425564600 has 192 divisors, whose sum is σ = 244032000000. Its totient is φ = 30520488960.

The previous prime is 90425564597. The next prime is 90425564629. The reversal of 90425564600 is 646552409.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45234401 + ... + 45236399.

It is an arithmetic number, because the mean of its divisors is an integer number (1271000000).

Almost surely, 2^90425564600 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 90425564600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122016000000).

90425564600 is an abundant number, since it is smaller than the sum of its proper divisors (153606435400).

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

90425564600 is a wasteful number, since it uses less digits than its factorization.

90425564600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2510 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 41.

The spelling of 90425564600 in words is "ninety billion, four hundred twenty-five million, five hundred sixty-four thousand, six hundred".