107998576718760 has 1536 divisors, whose sum is σ = 467880076984320. Its totient is φ = 21776781312000.

The previous prime is 107998576718707. The next prime is 107998576718803. The reversal of 107998576718760 is 67817675899701.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 107998576718760.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 42335779485 + ... + 42335782035.

It is an arithmetic number, because the mean of its divisors is an integer number (304609425120).

Almost surely, 2^{107998576718760} is an apocalyptic number.

107998576718760 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 107998576718760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233940038492160).

107998576718760 is an abundant number, since it is smaller than the sum of its proper divisors (359881500265560).

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

107998576718760 is a wasteful number, since it uses less digits than its factorization.

107998576718760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4701 (or 4685 counting only the distinct ones).

The product of its (nonzero) digits is 2240421120, while the sum is 81.

The spelling of 107998576718760 in words is "one hundred seven trillion, nine hundred ninety-eight billion, five hundred seventy-six million, seven hundred eighteen thousand, seven hundred sixty".