13760229780000 has 4320 divisors, whose sum is σ = 62886932140032. Its totient is φ = 2925331200000.

The previous prime is 13760229779999. The next prime is 13760229780013. The reversal of 13760229780000 is 8792206731.

13760229780000 is a `hidden beast` number, since 1 + 37 + 602 + 2 + 9 + 7 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 443878379985 + ... + 443878380015.

Almost surely, 2^{13760229780000} is an apocalyptic number.

13760229780000 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 13760229780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31443466070016).

13760229780000 is an abundant number, since it is smaller than the sum of its proper divisors (49126702360032).

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

13760229780000 is a wasteful number, since it uses less digits than its factorization.

13760229780000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 13760229780000 in words is "thirteen trillion, seven hundred sixty billion, two hundred twenty-nine million, seven hundred eighty thousand".