5876962560 has 576 divisors, whose sum is σ = 25254028800. Its totient is φ = 1263403008.

The previous prime is 5876962541. The next prime is 5876962613. The reversal of 5876962560 is 652696785.

It is a happy number.

5876962560 is a `hidden beast` number, since 5 + 8 + 7 + 6 + 9 + 625 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 5876962497 and 5876962506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4111926 + ... + 4113354.

It is an arithmetic number, because the mean of its divisors is an integer number (43843800).

Almost surely, 2^5876962560 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 5876962560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12627014400).

5876962560 is an abundant number, since it is smaller than the sum of its proper divisors (19377066240).

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

5876962560 is a wasteful number, since it uses less digits than its factorization.

5876962560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The square root of 5876962560 is about 76661.3498446251. The cubic root of 5876962560 is about 1804.6139407562.

The spelling of 5876962560 in words is "five billion, eight hundred seventy-six million, nine hundred sixty-two thousand, five hundred sixty".