5970640896000 has 1440 divisors, whose sum is σ = 24345199438560. Its totient is φ = 1443889152000.

The previous prime is 5970640895963. The next prime is 5970640896071. The reversal of 5970640896000 is 6980460795.

5970640896000 is a `hidden beast` number, since 597 + 0 + 6 + 40 + 8 + 9 + 6 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14598143796 + ... + 14598144204.

It is an arithmetic number, because the mean of its divisors is an integer number (16906388499).

Almost surely, 2^{5970640896000} is an apocalyptic number.

5970640896000 is a gapful number since it is divisible by the number (50) 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 5970640896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12172599719280).

5970640896000 is an abundant number, since it is smaller than the sum of its proper divisors (18374558542560).

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

5970640896000 is an frugal number, since it uses more digits than its factorization.

5970640896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 5970640896000 in words is "five trillion, nine hundred seventy billion, six hundred forty million, eight hundred ninety-six thousand".