10801050872832 has 1584 divisors, whose sum is σ = 39489698731392. Its totient is φ = 2913842626560.

The previous prime is 10801050872791. The next prime is 10801050872839. The reversal of 10801050872832 is 23827805010801.

10801050872832 is a `hidden beast` number, since 1 + 0 + 80 + 10 + 508 + 7 + 28 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is not an unprimeable number, because it can be changed into a prime (10801050872839) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16797901503 + ... + 16797902145.

Almost surely, 2^{10801050872832} is an apocalyptic number.

10801050872832 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 10801050872832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19744849365696).

10801050872832 is an abundant number, since it is smaller than the sum of its proper divisors (28688647858560).

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

10801050872832 is a wasteful number, since it uses less digits than its factorization.

10801050872832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 10801050872832 in words is "ten trillion, eight hundred one billion, fifty million, eight hundred seventy-two thousand, eight hundred thirty-two".