10087495583040 has 1344 divisors, whose sum is σ = 41468427705600. Its totient is φ = 2293893955584.

The previous prime is 10087495583027. The next prime is 10087495583047. The reversal of 10087495583040 is 4038559478001.

10087495583040 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 7 + 49 + 558 + 3 + 0 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10087495583047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1476287464 + ... + 1476294296.

It is an arithmetic number, because the mean of its divisors is an integer number (30854484900).

Almost surely, 2^{10087495583040} is an apocalyptic number.

10087495583040 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 10087495583040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20734213852800).

10087495583040 is an abundant number, since it is smaller than the sum of its proper divisors (31380932122560).

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

10087495583040 is a wasteful number, since it uses less digits than its factorization.

10087495583040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6941 (or 6902 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 10087495583040 in words is "ten trillion, eighty-seven billion, four hundred ninety-five million, five hundred eighty-three thousand, forty".