107850028366080 has 5400 divisors, whose sum is σ = 537385781102016. Its totient is φ = 20205437091840.

The previous prime is 107850028366079. The next prime is 107850028366097. The reversal of 107850028366080 is 80663820058701.

107850028366080 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 5 + 0 + 0 + 28 + 3 + 6 + 608 + 0 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 599 ways as a sum of consecutive naturals, for example, 2508140194539 + ... + 2508140194581.

Almost surely, 2^{107850028366080} is an apocalyptic number.

107850028366080 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 107850028366080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268692890551008).

107850028366080 is an abundant number, since it is smaller than the sum of its proper divisors (429535752735936).

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

107850028366080 is an frugal number, since it uses more digits than its factorization.

107850028366080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 107850028366080 in words is "one hundred seven trillion, eight hundred fifty billion, twenty-eight million, three hundred sixty-six thousand, eighty".