13405664372100 has 1152 divisors, whose sum is σ = 55811739820032. Its totient is φ = 2393000755200.

The previous prime is 13405664372081. The next prime is 13405664372141. The reversal of 13405664372100 is 127346650431.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 255529072 + ... + 255581528.

It is an arithmetic number, because the mean of its divisors is an integer number (48447690816).

Almost surely, 2^{13405664372100} is an apocalyptic number.

13405664372100 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 13405664372100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27905869910016).

13405664372100 is an abundant number, since it is smaller than the sum of its proper divisors (42406075447932).

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

13405664372100 is a wasteful number, since it uses less digits than its factorization.

13405664372100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52565 (or 52558 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 13405664372100 in words is "thirteen trillion, four hundred five billion, six hundred sixty-four million, three hundred seventy-two thousand, one hundred".