107268487142400 has 660 divisors, whose sum is σ = 418108149332280. Its totient is φ = 27099397324800.

The previous prime is 107268487142393. The next prime is 107268487142417. The reversal of 107268487142400 is 4241784862701.

It is a happy number.

107268487142400 is a `hidden beast` number, since 1 + 0 + 72 + 6 + 84 + 8 + 71 + 424 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 38037070 + ... + 40759730.

It is an arithmetic number, because the mean of its divisors is an integer number (633497195958).

Almost surely, 2^{107268487142400} is an apocalyptic number.

107268487142400 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 107268487142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209054074666140).

107268487142400 is an abundant number, since it is smaller than the sum of its proper divisors (310839662189880).

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

107268487142400 is a wasteful number, since it uses less digits than its factorization.

107268487142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722722 (or 2722690 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 107268487142400 in words is "one hundred seven trillion, two hundred sixty-eight billion, four hundred eighty-seven million, one hundred forty-two thousand, four hundred".