5947977553920 has 768 divisors, whose sum is σ = 21643142976000. Its totient is φ = 1548985171968.

The previous prime is 5947977553913. The next prime is 5947977553937. The reversal of 5947977553920 is 293557797495.

5947977553920 is a `hidden beast` number, since 5 + 9 + 47 + 9 + 7 + 7 + 553 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×5947977553920² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2658907042 + ... + 2658909278.

It is an arithmetic number, because the mean of its divisors is an integer number (28181175750).

Almost surely, 2^{5947977553920} 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 5947977553920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10821571488000).

5947977553920 is an abundant number, since it is smaller than the sum of its proper divisors (15695165422080).

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

5947977553920 is a wasteful number, since it uses less digits than its factorization.

5947977553920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2495 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 750141000, while the sum is 72.

The spelling of 5947977553920 in words is "five trillion, nine hundred forty-seven billion, nine hundred seventy-seven million, five hundred fifty-three thousand, nine hundred twenty".