5977856000 has 192 divisors, whose sum is σ = 15714972000. Its totient is φ = 2263449600.

The previous prime is 5977855999. The next prime is 5977856033. The reversal of 5977856000 is 6587795.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4863386 + ... + 4864614.

Almost surely, 2^5977856000 is an apocalyptic number.

5977856000 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 5977856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7857486000).

5977856000 is an abundant number, since it is smaller than the sum of its proper divisors (9737116000).

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

5977856000 is a wasteful number, since it uses less digits than its factorization.

5977856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 47.

The square root of 5977856000 is about 77316.5958898864. The cubic root of 5977856000 is about 1814.8823749305.

The spelling of 5977856000 in words is "five billion, nine hundred seventy-seven million, eight hundred fifty-six thousand".