13083764198400 has 1056 divisors, whose sum is σ = 55007654760960. Its totient is φ = 2985320448000.

The previous prime is 13083764198381. The next prime is 13083764198447. The reversal of 13083764198400 is 489146738031.

13083764198400 is a `hidden beast` number, since 1 + 3 + 0 + 83 + 76 + 4 + 1 + 98 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3198180355 + ... + 3198184445.

It is an arithmetic number, because the mean of its divisors is an integer number (52090582160).

Almost surely, 2^{13083764198400} is an apocalyptic number.

13083764198400 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 13083764198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27503827380480).

13083764198400 is an abundant number, since it is smaller than the sum of its proper divisors (41923890562560).

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

13083764198400 is a wasteful number, since it uses less digits than its factorization.

13083764198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4798 (or 4769 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 13083764198400 in words is "thirteen trillion, eighty-three billion, seven hundred sixty-four million, one hundred ninety-eight thousand, four hundred".