5997952314900 has 972 divisors, whose sum is σ = 24186637081152. Its totient is φ = 1238504117760.

The previous prime is 5997952314811. The next prime is 5997952314901. The reversal of 5997952314900 is 94132597995.

5997952314900 is a `hidden beast` number, since 5 + 9 + 9 + 7 + 9 + 523 + 14 + 90 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5997952314901) by changing a digit.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 350277739 + ... + 350294861.

Almost surely, 2^{5997952314900} is an apocalyptic number.

5997952314900 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 5997952314900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12093318540576).

5997952314900 is an abundant number, since it is smaller than the sum of its proper divisors (18188684766252).

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

5997952314900 is a wasteful number, since it uses less digits than its factorization.

5997952314900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17230 (or 17200 counting only the distinct ones).

The product of its (nonzero) digits is 27556200, while the sum is 63.

The spelling of 5997952314900 in words is "five trillion, nine hundred ninety-seven billion, nine hundred fifty-two million, three hundred fourteen thousand, nine hundred".