10836179252640 has 1152 divisors, whose sum is σ = 46167817328640. Its totient is φ = 2364003532800.

The previous prime is 10836179252627. The next prime is 10836179252797. The reversal of 10836179252640 is 4625297163801.

It is a happy number.

10836179252640 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 6 + 1 + 79 + 2 + 526 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 479020530 + ... + 479043150.

It is an arithmetic number, because the mean of its divisors is an integer number (40076230320).

It is a 1-persistent number, because it is pandigital, but 2⋅10836179252640 = 21672358505280 is not.

Almost surely, 2^{10836179252640} is an apocalyptic number.

10836179252640 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 10836179252640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23083908664320).

10836179252640 is an abundant number, since it is smaller than the sum of its proper divisors (35331638076000).

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

10836179252640 is a wasteful number, since it uses less digits than its factorization.

10836179252640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22763 (or 22742 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 10836179252640 in words is "ten trillion, eight hundred thirty-six billion, one hundred seventy-nine million, two hundred fifty-two thousand, six hundred forty".