90815194080 has 576 divisors, whose sum is σ = 356093599680. Its totient is φ = 20878000128.

The previous prime is 90815194079. The next prime is 90815194081. The reversal of 90815194080 is 8049151809.

90815194080 is a `hidden beast` number, since 90 + 8 + 1 + 519 + 40 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (90815194079) and next prime (90815194081).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90815194081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44234334 + ... + 44236386.

It is an arithmetic number, because the mean of its divisors is an integer number (618218055).

Almost surely, 2^90815194080 is an apocalyptic number.

90815194080 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 90815194080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178046799840).

90815194080 is an abundant number, since it is smaller than the sum of its proper divisors (265278405600).

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

90815194080 is a wasteful number, since it uses less digits than its factorization.

90815194080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2243 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 90815194080 in words is "ninety billion, eight hundred fifteen million, one hundred ninety-four thousand, eighty".