1107272399688 has 384 divisors, whose sum is σ = 3801549024000. Its totient is φ = 289289677824.

The previous prime is 1107272399683. The next prime is 1107272399771. The reversal of 1107272399688 is 8869932727011.

1107272399688 is a `hidden beast` number, since 110 + 7 + 2 + 72 + 399 + 68 + 8 = 666.

It is a super-2 number, since 2×1107272399688² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1107272399683) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34336020 + ... + 34368252.

It is an arithmetic number, because the mean of its divisors is an integer number (9899867250).

Almost surely, 2^{1107272399688} is an apocalyptic number.

1107272399688 is a gapful number since it is divisible by the number (18) 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 1107272399688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900774512000).

1107272399688 is an abundant number, since it is smaller than the sum of its proper divisors (2694276624312).

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

1107272399688 is a wasteful number, since it uses less digits than its factorization.

1107272399688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32386 (or 32365 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 1107272399688 in words is "one trillion, one hundred seven billion, two hundred seventy-two million, three hundred ninety-nine thousand, six hundred eighty-eight".