107626511258112 has 640 divisors, whose sum is σ = 359563994431488. Its totient is φ = 27791847014400.

The previous prime is 107626511258053. The next prime is 107626511258183. The reversal of 107626511258112 is 211852115626701.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21773517913 + ... + 21773522855.

Almost surely, 2^{107626511258112} is an apocalyptic number.

107626511258112 is a gapful number since it is divisible by the number (12) 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 107626511258112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179781997215744).

107626511258112 is an abundant number, since it is smaller than the sum of its proper divisors (251937483173376).

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

107626511258112 is a wasteful number, since it uses less digits than its factorization.

107626511258112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6020 (or 6004 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 48.

The spelling of 107626511258112 in words is "one hundred seven trillion, six hundred twenty-six billion, five hundred eleven million, two hundred fifty-eight thousand, one hundred twelve".