90824146560 has 768 divisors, whose sum is σ = 391358822400. Its totient is φ = 19662704640.

The previous prime is 90824146547. The next prime is 90824146577. The reversal of 90824146560 is 6564142809.

90824146560 is a `hidden beast` number, since 9 + 0 + 8 + 2 + 41 + 46 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20681965 + ... + 20686355.

It is an arithmetic number, because the mean of its divisors is an integer number (509581800).

Almost surely, 2^90824146560 is an apocalyptic number.

90824146560 is a gapful number since it is divisible by the number (90) 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 90824146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195679411200).

90824146560 is an abundant number, since it is smaller than the sum of its proper divisors (300534675840).

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

90824146560 is a wasteful number, since it uses less digits than its factorization.

90824146560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4451 (or 4427 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 90824146560 in words is "ninety billion, eight hundred twenty-four million, one hundred forty-six thousand, five hundred sixty".