10539676800 has 384 divisors, whose sum is σ = 38829360000. Its totient is φ = 2791895040.

The previous prime is 10539676783. The next prime is 10539676811. The reversal of 10539676800 is 867693501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10539676800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17193294 + ... + 17193906.

It is an arithmetic number, because the mean of its divisors is an integer number (101118125).

Almost surely, 2^10539676800 is an apocalyptic number.

10539676800 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 10539676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19414680000).

10539676800 is an abundant number, since it is smaller than the sum of its proper divisors (28289683200).

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

10539676800 is a wasteful number, since it uses less digits than its factorization.

10539676800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 10539676800 in words is "ten billion, five hundred thirty-nine million, six hundred seventy-six thousand, eight hundred".