10091873364480 has 480 divisors, whose sum is σ = 36100225294848. Its totient is φ = 2602782720000.

The previous prime is 10091873364467. The next prime is 10091873364557. The reversal of 10091873364480 is 8446337819001.

10091873364480 is a `hidden beast` number, since 1 + 0 + 0 + 91 + 8 + 73 + 3 + 6 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1607751102 + ... + 1607757378.

Almost surely, 2^{10091873364480} is an apocalyptic number.

10091873364480 is a gapful number since it is divisible by the number (10) 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 10091873364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18050112647424).

10091873364480 is an abundant number, since it is smaller than the sum of its proper divisors (26008351930368).

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

10091873364480 is a wasteful number, since it uses less digits than its factorization.

10091873364480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8588 (or 8569 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 10091873364480 in words is "ten trillion, ninety-one billion, eight hundred seventy-three million, three hundred sixty-four thousand, four hundred eighty".