13853010225600 has 2520 divisors, whose sum is σ = 65860027271808. Its totient is φ = 2828025446400.

The previous prime is 13853010225577. The next prime is 13853010225767. The reversal of 13853010225600 is 652201035831.

13853010225600 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 30 + 10 + 2 + 2 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

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 polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2559208494 + ... + 2559213906.

Almost surely, 2^{13853010225600} is an apocalyptic number.

13853010225600 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 13853010225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32930013635904).

13853010225600 is an abundant number, since it is smaller than the sum of its proper divisors (52007017046208).

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

13853010225600 is a wasteful number, since it uses less digits than its factorization.

13853010225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5505 (or 5474 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 13853010225600 in words is "thirteen trillion, eight hundred fifty-three billion, ten million, two hundred twenty-five thousand, six hundred".