961059790080 has 1296 divisors, whose sum is σ = 3823230378240. Its totient is φ = 230939983872.

The previous prime is 961059790027. The next prime is 961059790081. The reversal of 961059790080 is 80097950169.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×961059790080² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 961059789999 and 961059790026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961059790081) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2470590526 + ... + 2470590914.

It is an arithmetic number, because the mean of its divisors is an integer number (2950023440).

Almost surely, 2^961059790080 is an apocalyptic number.

961059790080 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 961059790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911615189120).

961059790080 is an abundant number, since it is smaller than the sum of its proper divisors (2862170588160).

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

961059790080 is a wasteful number, since it uses less digits than its factorization.

961059790080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 961059790080 in words is "nine hundred sixty-one billion, fifty-nine million, seven hundred ninety thousand, eighty".