961111352678400 has 7776 divisors, whose sum is σ = 4591967917118400. Its totient is φ = 191294078976000.

The previous prime is 961111352678299. The next prime is 961111352678423. The reversal of 961111352678400 is 4876253111169.

961111352678400 is a `hidden beast` number, since 9 + 6 + 1 + 1 + 1 + 1 + 3 + 526 + 78 + 40 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 12165966489561 + ... + 12165966489639.

It is a 1-persistent number, because it is pandigital, but 2⋅961111352678400 = 1922222705356800 is not.

Almost surely, 2^{961111352678400} is an apocalyptic number.

961111352678400 is a gapful number since it is divisible by the number (90) 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 961111352678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2295983958559200).

961111352678400 is an abundant number, since it is smaller than the sum of its proper divisors (3630856564440000).

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

961111352678400 is a wasteful number, since it uses less digits than its factorization.

961111352678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 961111352678400 in words is "nine hundred sixty-one trillion, one hundred eleven billion, three hundred fifty-two million, six hundred seventy-eight thousand, four hundred".