13769097190800 has 960 divisors, whose sum is σ = 54490792366080. Its totient is φ = 2903814144000.

The previous prime is 13769097190757. The next prime is 13769097190817. The reversal of 13769097190800 is 809179096731.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 704977035 + ... + 704996565.

It is an arithmetic number, because the mean of its divisors is an integer number (56761242048).

Almost surely, 2^{13769097190800} is an apocalyptic number.

13769097190800 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 13769097190800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27245396183040).

13769097190800 is an abundant number, since it is smaller than the sum of its proper divisors (40721695175280).

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

13769097190800 is a wasteful number, since it uses less digits than its factorization.

13769097190800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19712 (or 19701 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 60.

The spelling of 13769097190800 in words is "thirteen trillion, seven hundred sixty-nine billion, ninety-seven million, one hundred ninety thousand, eight hundred".