90195477315840 has 576 divisors, whose sum is σ = 356575230950400. Its totient is φ = 21436375597056.

The previous prime is 90195477315767. The next prime is 90195477315851. The reversal of 90195477315840 is 4851377459109.

90195477315840 is a `hidden beast` number, since 9 + 0 + 1 + 9 + 5 + 47 + 7 + 3 + 1 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×90195477315840² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9567817 + ... + 16490423.

It is an arithmetic number, because the mean of its divisors is an integer number (619054220400).

Almost surely, 2^{90195477315840} is an apocalyptic number.

90195477315840 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 90195477315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178287615475200).

90195477315840 is an abundant number, since it is smaller than the sum of its proper divisors (266379753634560).

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

90195477315840 is a wasteful number, since it uses less digits than its factorization.

90195477315840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6922679 (or 6922659 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 90195477315840 in words is "ninety trillion, one hundred ninety-five billion, four hundred seventy-seven million, three hundred fifteen thousand, eight hundred forty".