968001158400 has 216 divisors, whose sum is σ = 3254884486560. Its totient is φ = 253262929920.

The previous prime is 968001158321. The next prime is 968001158483. The reversal of 968001158400 is 4851100869.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 541971 + ... + 1493229.

It is an arithmetic number, because the mean of its divisors is an integer number (15068909660).

Almost surely, 2^968001158400 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 968001158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627442243280).

968001158400 is an abundant number, since it is smaller than the sum of its proper divisors (2286883328160).

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

968001158400 is a wasteful number, since it uses less digits than its factorization.

968001158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951341 (or 951322 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The spelling of 968001158400 in words is "nine hundred sixty-eight billion, one million, one hundred fifty-eight thousand, four hundred".