13953599352000 has 1792 divisors, whose sum is σ = 64230592757760. Its totient is φ = 2881101312000.

The previous prime is 13953599351971. The next prime is 13953599352023. The reversal of 13953599352000 is 25399535931.

13953599352000 is a `hidden beast` number, since 13 + 9 + 5 + 3 + 599 + 35 + 2 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×13953599352000² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2711013427 + ... + 2711018573.

Almost surely, 2^{13953599352000} is an apocalyptic number.

13953599352000 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 13953599352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32115296378880).

13953599352000 is an abundant number, since it is smaller than the sum of its proper divisors (50276993405760).

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

13953599352000 is a wasteful number, since it uses less digits than its factorization.

13953599352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5364 (or 5338 counting only the distinct ones).

The product of its (nonzero) digits is 4920750, while the sum is 54.

The spelling of 13953599352000 in words is "thirteen trillion, nine hundred fifty-three billion, five hundred ninety-nine million, three hundred fifty-two thousand".