868780741439520 has 1152 divisors, whose sum is σ = 3785647447056384. Its totient is φ = 183224490061824.

The previous prime is 868780741439461. The next prime is 868780741439617. The reversal of 868780741439520 is 25934147087868.

It is a happy number.

868780741439520 is a `hidden beast` number, since 8 + 6 + 8 + 7 + 80 + 7 + 4 + 14 + 3 + 9 + 520 = 666.

It is a super-3 number, since 3×868780741439520³ (a number of 46 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8431193119 + ... + 8431296161.

It is an arithmetic number, because the mean of its divisors is an integer number (3286152297792).

It is a 2-persistent number, because it is pandigital, and so is 2⋅868780741439520 = 1737561482879040, but 3⋅868780741439520 = 2606342224318560 is not.

Almost surely, 2^{868780741439520} is an apocalyptic number.

868780741439520 is a gapful number since it is divisible by the number (80) 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 868780741439520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892823723528192).

868780741439520 is an abundant number, since it is smaller than the sum of its proper divisors (2916866705616864).

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

868780741439520 is a wasteful number, since it uses less digits than its factorization.

868780741439520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105476 (or 105456 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 868780741439520 in words is "eight hundred sixty-eight trillion, seven hundred eighty billion, seven hundred forty-one million, four hundred thirty-nine thousand, five hundred twenty".