5953312245888 has 320 divisors, whose sum is σ = 20402552301120. Its totient is φ = 1687959336960.

The previous prime is 5953312245817. The next prime is 5953312245889. The reversal of 5953312245888 is 8885422133595.

It is a happy number.

5953312245888 is a `hidden beast` number, since 5 + 9 + 5 + 33 + 12 + 2 + 4 + 588 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 (5953312245889) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9194370 + ... + 9820542.

It is an arithmetic number, because the mean of its divisors is an integer number (63757975941).

Almost surely, 2^{5953312245888} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5953312245888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10201276150560).

5953312245888 is an abundant number, since it is smaller than the sum of its proper divisors (14449240055232).

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

5953312245888 is a wasteful number, since it uses less digits than its factorization.

5953312245888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626337 (or 626316 counting only the distinct ones).

The product of its digits is 82944000, while the sum is 63.

The spelling of 5953312245888 in words is "five trillion, nine hundred fifty-three billion, three hundred twelve million, two hundred forty-five thousand, eight hundred eighty-eight".