13960212480 has 624 divisors, whose sum is σ = 52440747840. Its totient is φ = 3425697792.

The previous prime is 13960212463. The next prime is 13960212493. The reversal of 13960212480 is 8421206931.

13960212480 is a `hidden beast` number, since 1 + 3 + 9 + 602 + 1 + 2 + 48 + 0 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156856276 + ... + 156856364.

It is an arithmetic number, because the mean of its divisors is an integer number (84039660).

Almost surely, 2^13960212480 is an apocalyptic number.

13960212480 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 13960212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26220373920).

13960212480 is an abundant number, since it is smaller than the sum of its proper divisors (38480535360).

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

13960212480 is a wasteful number, since it uses less digits than its factorization.

13960212480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 13960212480 in words is "thirteen billion, nine hundred sixty million, two hundred twelve thousand, four hundred eighty".