126378693763200 has 960 divisors, whose sum is σ = 500050407225600. Its totient is φ = 31316986920960.

The previous prime is 126378693763199. The next prime is 126378693763291. The reversal of 126378693763200 is 2367396873621.

126378693763200 is a `hidden beast` number, since 1 + 26 + 37 + 8 + 6 + 9 + 376 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 347924077 + ... + 348287123.

It is an arithmetic number, because the mean of its divisors is an integer number (520885840860).

Almost surely, 2^{126378693763200} is an apocalyptic number.

126378693763200 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 126378693763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250025203612800).

126378693763200 is an abundant number, since it is smaller than the sum of its proper divisors (373671713462400).

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

126378693763200 is a wasteful number, since it uses less digits than its factorization.

126378693763200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363179 (or 363153 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 63.

The spelling of 126378693763200 in words is "one hundred twenty-six trillion, three hundred seventy-eight billion, six hundred ninety-three million, seven hundred sixty-three thousand, two hundred".