90402298560 has 1568 divisors, whose sum is σ = 402973885440. Its totient is φ = 18853502976.

The previous prime is 90402298517. The next prime is 90402298603. The reversal of 90402298560 is 6589220409.

90402298560 is a `hidden beast` number, since 90 + 402 + 29 + 85 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (90402298517) and next prime (90402298603).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1089184279 + ... + 1089184361.

Almost surely, 2^90402298560 is an apocalyptic number.

90402298560 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 90402298560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201486942720).

90402298560 is an abundant number, since it is smaller than the sum of its proper divisors (312571586880).

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

90402298560 is a wasteful number, since it uses less digits than its factorization.

90402298560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 90402298560 in words is "ninety billion, four hundred two million, two hundred ninety-eight thousand, five hundred sixty".