10813791206400 has 4224 divisors, whose sum is σ = 49779853885440. Its totient is φ = 2006581248000.

The previous prime is 10813791206399. The next prime is 10813791206423. The reversal of 10813791206400 is 460219731801.

It is a happy number.

It is a super-2 number, since 2×10813791206400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 152306918365 + ... + 152306918435.

Almost surely, 2^{10813791206400} is an apocalyptic number.

10813791206400 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 10813791206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24889926942720).

10813791206400 is an abundant number, since it is smaller than the sum of its proper divisors (38966062679040).

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

10813791206400 is a wasteful number, since it uses less digits than its factorization.

10813791206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 10813791206400 in words is "ten trillion, eight hundred thirteen billion, seven hundred ninety-one million, two hundred six thousand, four hundred".