961270765056 has 640 divisors, whose sum is σ = 3377883801600. Its totient is φ = 264199864320.

The previous prime is 961270764997. The next prime is 961270765087. The reversal of 961270765056 is 650567072169.

961270765056 is a `hidden beast` number, since 9 + 6 + 127 + 0 + 7 + 6 + 505 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 961270764993 and 961270765011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 289624965 + ... + 289628283.

It is an arithmetic number, because the mean of its divisors is an integer number (5277943440).

Almost surely, 2^961270765056 is an apocalyptic number.

961270765056 is a gapful number since it is divisible by the number (96) 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 961270765056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688941900800).

961270765056 is an abundant number, since it is smaller than the sum of its proper divisors (2416613036544).

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

961270765056 is a wasteful number, since it uses less digits than its factorization.

961270765056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3467 (or 3445 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 961270765056 in words is "nine hundred sixty-one billion, two hundred seventy million, seven hundred sixty-five thousand, fifty-six".