10585892424492 has 540 divisors, whose sum is σ = 37246786952760. Its totient is φ = 2604858600960.

The previous prime is 10585892424491. The next prime is 10585892424509. The reversal of 10585892424492 is 29442429858501.

10585892424492 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 58 + 92 + 4 + 2 + 4 + 492 = 666.

It is a super-2 number, since 2×10585892424492² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (10585892424491) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 36353908 + ... + 36643940.

It is an arithmetic number, because the mean of its divisors is an integer number (68975531394).

Almost surely, 2^{10585892424492} is an apocalyptic number.

10585892424492 is a gapful number since it is divisible by the number (12) 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 10585892424492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18623393476380).

10585892424492 is an abundant number, since it is smaller than the sum of its proper divisors (26660894528268).

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

10585892424492 is a wasteful number, since it uses less digits than its factorization.

10585892424492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290104 (or 290075 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 10585892424492 in words is "ten trillion, five hundred eighty-five billion, eight hundred ninety-two million, four hundred twenty-four thousand, four hundred ninety-two".