968568251040 has 288 divisors, whose sum is σ = 3560935996800. Its totient is φ = 238319843328.

The previous prime is 968568251023. The next prime is 968568251041. The reversal of 968568251040 is 40152865869.

968568251040 is a `hidden beast` number, since 9 + 6 + 8 + 5 + 6 + 82 + 510 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×968568251040² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (968568251041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53211861 + ... + 53230059.

It is an arithmetic number, because the mean of its divisors is an integer number (12364361100).

Almost surely, 2^968568251040 is an apocalyptic number.

968568251040 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 968568251040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780467998400).

968568251040 is an abundant number, since it is smaller than the sum of its proper divisors (2592367745760).

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

968568251040 is a wasteful number, since it uses less digits than its factorization.

968568251040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21076 (or 21065 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 968568251040 in words is "nine hundred sixty-eight billion, five hundred sixty-eight million, two hundred fifty-one thousand, forty".