90477894845520 has 1920 divisors, whose sum is σ = 403315306168320. Its totient is φ = 17636053155840.

The previous prime is 90477894845497. The next prime is 90477894845561. The reversal of 90477894845520 is 2554849877409.

It is a happy number.

90477894845520 is a `hidden beast` number, since 9 + 0 + 4 + 7 + 7 + 8 + 94 + 8 + 4 + 5 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 18900748567 + ... + 18900753353.

It is an arithmetic number, because the mean of its divisors is an integer number (210060055296).

Almost surely, 2^{90477894845520} is an apocalyptic number.

90477894845520 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 90477894845520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201657653084160).

90477894845520 is an abundant number, since it is smaller than the sum of its proper divisors (312837411322800).

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

90477894845520 is a wasteful number, since it uses less digits than its factorization.

90477894845520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5153 (or 5144 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 90477894845520 in words is "ninety trillion, four hundred seventy-seven billion, eight hundred ninety-four million, eight hundred forty-five thousand, five hundred twenty".