13933636485120 has 1824 divisors, whose sum is σ = 56555954372736. Its totient is φ = 3261490790400.

The previous prime is 13933636485101. The next prime is 13933636485127. The reversal of 13933636485120 is 2158463633931.

13933636485120 is a `hidden beast` number, since 1 + 3 + 9 + 3 + 3 + 6 + 36 + 485 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13933636485127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 143645736912 + ... + 143645737008.

Almost surely, 2^{13933636485120} is an apocalyptic number.

13933636485120 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 13933636485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28277977186368).

13933636485120 is an abundant number, since it is smaller than the sum of its proper divisors (42622317887616).

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

13933636485120 is an frugal number, since it uses more digits than its factorization.

13933636485120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 13933636485120 in words is "thirteen trillion, nine hundred thirty-three billion, six hundred thirty-six million, four hundred eighty-five thousand, one hundred twenty".