107496561800880 has 480 divisors, whose sum is σ = 430548719118336. Its totient is φ = 23500807520256.

The previous prime is 107496561800863. The next prime is 107496561800899. The reversal of 107496561800880 is 88008165694701.

107496561800880 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 9 + 6 + 5 + 618 + 0 + 0 + 8 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

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 95 ways as a sum of consecutive naturals, for example, 3322598784 + ... + 3322631136.

Almost surely, 2^{107496561800880} is an apocalyptic number.

107496561800880 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 107496561800880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215274359559168).

107496561800880 is an abundant number, since it is smaller than the sum of its proper divisors (323052157317456).

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

107496561800880 is a wasteful number, since it uses less digits than its factorization.

107496561800880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61065 (or 61056 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 107496561800880 in words is "one hundred seven trillion, four hundred ninety-six billion, five hundred sixty-one million, eight hundred thousand, eight hundred eighty".