13432370402700 has 576 divisors, whose sum is σ = 47078236800000. Its totient is φ = 3272562155520.

The previous prime is 13432370402551. The next prime is 13432370402723. The reversal of 13432370402700 is 720407323431.

13432370402700 is a `hidden beast` number, since 1 + 343 + 2 + 3 + 7 + 0 + 40 + 270 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1382068441 + ... + 1382078159.

It is an arithmetic number, because the mean of its divisors is an integer number (81733050000).

Almost surely, 2^{13432370402700} is an apocalyptic number.

13432370402700 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 13432370402700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23539118400000).

13432370402700 is an abundant number, since it is smaller than the sum of its proper divisors (33645866397300).

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

13432370402700 is a wasteful number, since it uses less digits than its factorization.

13432370402700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10719 (or 10706 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The spelling of 13432370402700 in words is "thirteen trillion, four hundred thirty-two billion, three hundred seventy million, four hundred two thousand, seven hundred".