2311087968000 has 864 divisors, whose sum is σ = 9660280785792. Its totient is φ = 519561216000.

The previous prime is 2311087967999. The next prime is 2311087968019. The reversal of 2311087968000 is 8697801132.

It is a super-2 number, since 2×2311087968000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122966604 + ... + 122985396.

Almost surely, 2^{2311087968000} is an apocalyptic number.

2311087968000 is a gapful number since it is divisible by the number (20) 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 2311087968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4830140392896).

2311087968000 is an abundant number, since it is smaller than the sum of its proper divisors (7349192817792).

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

2311087968000 is a wasteful number, since it uses less digits than its factorization.

2311087968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18898 (or 18871 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 2311087968000 in words is "two trillion, three hundred eleven billion, eighty-seven million, nine hundred sixty-eight thousand".