10133898579456 has 160 divisors (see below), whose sum is σ = 28055275776000. Its totient is φ = 3247057674240.

The previous prime is 10133898579443. The next prime is 10133898579461. The reversal of 10133898579456 is 65497589833101.

10133898579456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6380605 + ... + 7808963.

It is an arithmetic number, because the mean of its divisors is an integer number (175345473600).

Almost surely, 2^{10133898579456} is an apocalyptic number.

10133898579456 is a gapful number since it is divisible by the number (16) 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 10133898579456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14027637888000).

10133898579456 is an abundant number, since it is smaller than the sum of its proper divisors (17921377196544).

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

10133898579456 is a wasteful number, since it uses less digits than its factorization.

10133898579456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428560 (or 1428544 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 69.

The spelling of 10133898579456 in words is "ten trillion, one hundred thirty-three billion, eight hundred ninety-eight million, five hundred seventy-nine thousand, four hundred fifty-six".