2956598112000 has 2304 divisors, whose sum is σ = 11987490557952. Its totient is φ = 638425497600.

The previous prime is 2956598111969. The next prime is 2956598112007. The reversal of 2956598112000 is 2118956592.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2956598112007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 35621663959 + ... + 35621664041.

It is an arithmetic number, because the mean of its divisors is an integer number (5202903888).

Almost surely, 2^{2956598112000} is an apocalyptic number.

2956598112000 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 2956598112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5993745278976).

2956598112000 is an abundant number, since it is smaller than the sum of its proper divisors (9030892445952).

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

2956598112000 is a wasteful number, since it uses less digits than its factorization.

2956598112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 48.

The spelling of 2956598112000 in words is "two trillion, nine hundred fifty-six billion, five hundred ninety-eight million, one hundred twelve thousand".