963040853567520 has 5376 divisors, whose sum is σ = 4701858046018560. Its totient is φ = 180303364620288.

The previous prime is 963040853567491. The next prime is 963040853567521. The reversal of 963040853567520 is 25765358040369.

It is a happy number.

963040853567520 is a `hidden beast` number, since 9 + 6 + 3 + 0 + 4 + 0 + 8 + 53 + 56 + 7 + 520 = 666.

It is a super-2 number, since 2×963040853567520² (a number of 31 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (963040853567521) by changing a digit.

It is a polite number, since it can be written in 895 ways as a sum of consecutive naturals, for example, 881098676094 + ... + 881098677186.

It is an arithmetic number, because the mean of its divisors is an integer number (874601571060).

Almost surely, 2^{963040853567520} is an apocalyptic number.

963040853567520 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 963040853567520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2350929023009280).

963040853567520 is an abundant number, since it is smaller than the sum of its proper divisors (3738817192451040).

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

963040853567520 is a wasteful number, since it uses less digits than its factorization.

963040853567520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 163296000, while the sum is 63.

The spelling of 963040853567520 in words is "nine hundred sixty-three trillion, forty billion, eight hundred fifty-three million, five hundred sixty-seven thousand, five hundred twenty".