13772972505600 has 3360 divisors, whose sum is σ = 66085771847040. Its totient is φ = 2759049216000.

The previous prime is 13772972505583. The next prime is 13772972505619. The reversal of 13772972505600 is 650527927731.

13772972505600 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 2 + 9 + 7 + 25 + 0 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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 polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 20836569270 + ... + 20836569930.

Almost surely, 2^{13772972505600} is an apocalyptic number.

13772972505600 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 13772972505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33042885923520).

13772972505600 is an abundant number, since it is smaller than the sum of its proper divisors (52312799341440).

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

13772972505600 is an equidigital number, since it uses as much as digits as its factorization.

13772972505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 54.

The spelling of 13772972505600 in words is "thirteen trillion, seven hundred seventy-two billion, nine hundred seventy-two million, five hundred five thousand, six hundred".