13840552857600 has 2808 divisors, whose sum is σ = 62643610775520. Its totient is φ = 2986461757440.

The previous prime is 13840552857569. The next prime is 13840552857623. The reversal of 13840552857600 is 675825504831.

13840552857600 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 0 + 5 + 5 + 28 + 5 + 7 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 48906547059 + ... + 48906547341.

Almost surely, 2^{13840552857600} is an apocalyptic number.

13840552857600 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 13840552857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31321805387760).

13840552857600 is an abundant number, since it is smaller than the sum of its proper divisors (48803057917920).

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

13840552857600 is a wasteful number, since it uses less digits than its factorization.

13840552857600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 13840552857600 in words is "thirteen trillion, eight hundred forty billion, five hundred fifty-two million, eight hundred fifty-seven thousand, six hundred".