90427417600 has 528 divisors, whose sum is σ = 253300037760. Its totient is φ = 31791513600.

The previous prime is 90427417547. The next prime is 90427417631. The reversal of 90427417600 is 671472409.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 1016038356 + ... + 1016038444.

It is an arithmetic number, because the mean of its divisors is an integer number (479734920).

Almost surely, 2^90427417600 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 90427417600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126650018880).

90427417600 is an abundant number, since it is smaller than the sum of its proper divisors (162872620160).

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

90427417600 is a wasteful number, since it uses less digits than its factorization.

90427417600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 90427417600 in words is "ninety billion, four hundred twenty-seven million, four hundred seventeen thousand, six hundred".