10358749551168 has 392 divisors, whose sum is σ = 32105896021760. Its totient is φ = 3310825466880.

The previous prime is 10358749551151. The next prime is 10358749551173. The reversal of 10358749551168 is 86115594785301.

It is a happy number.

10358749551168 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 8 + 74 + 9 + 551 + 1 + 6 + 8 = 666.

It is a super-3 number, since 3×10358749551168³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 157617771 + ... + 157683477.

Almost surely, 2^{10358749551168} is an apocalyptic number.

10358749551168 is a gapful number since it is divisible by the number (18) 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 10358749551168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16052948010880).

10358749551168 is an abundant number, since it is smaller than the sum of its proper divisors (21747146470592).

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

10358749551168 is an equidigital number, since it uses as much as digits as its factorization.

10358749551168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65877 (or 65852 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 63.

The spelling of 10358749551168 in words is "ten trillion, three hundred fifty-eight billion, seven hundred forty-nine million, five hundred fifty-one thousand, one hundred sixty-eight".