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5772960000 = 28325419211
BaseRepresentation
bin1010110000001100…
…00110000100000000
3112220022211202100100
411120012012010000
543310334210000
62352502322400
7263026231113
oct53006060400
915808752310
105772960000
1124a275a325
121151429400
13710034b82
143ca9cc57a
1523bc3ba00
hex158186100

5772960000 has 540 divisors, whose sum is σ = 21997895920. Its totient is φ = 1451520000.

The previous prime is 5772959993. The next prime is 5772960059. The reversal of 5772960000 is 692775.

5772960000 is a `hidden beast` number, since 577 + 29 + 60 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 27359895 + ... + 27360105.

Almost surely, 25772960000 is an apocalyptic number.

5772960000 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 5772960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10998947960).

5772960000 is an abundant number, since it is smaller than the sum of its proper divisors (16224935920).

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

5772960000 is a wasteful number, since it uses less digits than its factorization.

5772960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 5772960000 is about 75979.9973677283. The cubic root of 5772960000 is about 1793.9053129893.

The spelling of 5772960000 in words is "five billion, seven hundred seventy-two million, nine hundred sixty thousand".