90869057280 has 288 divisors, whose sum is σ = 323180928000. Its totient is φ = 24177512448.

The previous prime is 90869057269. The next prime is 90869057291. The reversal of 90869057280 is 8275096809.

It is a happy number.

90869057280 is a `hidden beast` number, since 9 + 0 + 8 + 69 + 0 + 572 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (90869057269) and next prime (90869057291).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16828021 + ... + 16833419.

It is an arithmetic number, because the mean of its divisors is an integer number (1122156000).

Almost surely, 2^90869057280 is an apocalyptic number.

90869057280 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 90869057280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161590464000).

90869057280 is an abundant number, since it is smaller than the sum of its proper divisors (232311870720).

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

90869057280 is a wasteful number, since it uses less digits than its factorization.

90869057280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5916 (or 5896 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 90869057280 in words is "ninety billion, eight hundred sixty-nine million, fifty-seven thousand, two hundred eighty".