13970193120 has 480 divisors, whose sum is σ = 53465160672. Its totient is φ = 3414970368.

The previous prime is 13970193103. The next prime is 13970193151. The reversal of 13970193120 is 2139107931.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 47679694 + ... + 47679986.

Almost surely, 2^13970193120 is an apocalyptic number.

13970193120 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 13970193120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26732580336).

13970193120 is an abundant number, since it is smaller than the sum of its proper divisors (39494967552).

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

13970193120 is a wasteful number, since it uses less digits than its factorization.

13970193120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The spelling of 13970193120 in words is "thirteen billion, nine hundred seventy million, one hundred ninety-three thousand, one hundred twenty".