107186420880 has 640 divisors, whose sum is σ = 475169587200. Its totient is φ = 21552998400.

The previous prime is 107186420867. The next prime is 107186420917. The reversal of 107186420880 is 88024681701.

107186420880 is a `hidden beast` number, since 1 + 0 + 71 + 86 + 420 + 8 + 80 = 666.

It is a super-2 number, since 2×107186420880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5145526 + ... + 5166314.

It is an arithmetic number, because the mean of its divisors is an integer number (742452480).

Almost surely, 2^107186420880 is an apocalyptic number.

107186420880 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 107186420880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237584793600).

107186420880 is an abundant number, since it is smaller than the sum of its proper divisors (367983166320).

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

107186420880 is a wasteful number, since it uses less digits than its factorization.

107186420880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20860 (or 20848 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 107186420880 in words is "one hundred seven billion, one hundred eighty-six million, four hundred twenty thousand, eight hundred eighty".