13952828361600 has 384 divisors, whose sum is σ = 51115008712800. Its totient is φ = 3716999331840.

The previous prime is 13952828361583. The next prime is 13952828361611. The reversal of 13952828361600 is 616382825931.

13952828361600 is a `hidden beast` number, since 1 + 3 + 9 + 5 + 2 + 8 + 28 + 3 + 6 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86059812 + ... + 86221788.

Almost surely, 2^{13952828361600} is an apocalyptic number.

13952828361600 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 13952828361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25557504356400).

13952828361600 is an abundant number, since it is smaller than the sum of its proper divisors (37162180351200).

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

13952828361600 is a wasteful number, since it uses less digits than its factorization.

13952828361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163007 (or 162984 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 13952828361600 in words is "thirteen trillion, nine hundred fifty-two billion, eight hundred twenty-eight million, three hundred sixty-one thousand, six hundred".