13725550352700 has 216 divisors, whose sum is σ = 43864297036560. Its totient is φ = 3589177651200.

The previous prime is 13725550352641. The next prime is 13725550352711. The reversal of 13725550352700 is 725305552731.

13725550352700 is a `hidden beast` number, since 1 + 3 + 7 + 25 + 5 + 503 + 52 + 70 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8794495 + ... + 10236905.

Almost surely, 2^{13725550352700} is an apocalyptic number.

13725550352700 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 13725550352700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21932148518280).

13725550352700 is an abundant number, since it is smaller than the sum of its proper divisors (30138746683860).

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

13725550352700 is a wasteful number, since it uses less digits than its factorization.

13725550352700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442637 (or 1442627 counting only the distinct ones).

The product of its (nonzero) digits is 1102500, while the sum is 45.

The spelling of 13725550352700 in words is "thirteen trillion, seven hundred twenty-five billion, five hundred fifty million, three hundred fifty-two thousand, seven hundred".