107273984256 has 720 divisors, whose sum is σ = 359636796288. Its totient is φ = 31629312000.

The previous prime is 107273984219. The next prime is 107273984263. The reversal of 107273984256 is 652489372701.

It is a happy number.

107273984256 is a `hidden beast` number, since 107 + 27 + 3 + 98 + 425 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 818885311 + ... + 818885441.

It is a 1-persistent number, because it is pandigital, but 2⋅107273984256 = 214547968512 is not.

Almost surely, 2^107273984256 is an apocalyptic number.

107273984256 is a gapful number since it is divisible by the number (16) 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 107273984256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179818398144).

107273984256 is an abundant number, since it is smaller than the sum of its proper divisors (252362812032).

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

107273984256 is a wasteful number, since it uses less digits than its factorization.

107273984256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 107273984256 in words is "one hundred seven billion, two hundred seventy-three million, nine hundred eighty-four thousand, two hundred fifty-six".