5878137600 has 1080 divisors, whose sum is σ = 24841222560. Its totient is φ = 1362493440.

The previous prime is 5878137593. The next prime is 5878137611. The reversal of 5878137600 is 67318785.

5878137600 is a `hidden beast` number, since 5 + 8 + 7 + 8 + 1 + 37 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 202694386 + ... + 202694414.

It is an arithmetic number, because the mean of its divisors is an integer number (23001132).

Almost surely, 2^5878137600 is an apocalyptic number.

5878137600 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 5878137600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12420611280).

5878137600 is an abundant number, since it is smaller than the sum of its proper divisors (18963084960).

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

5878137600 is a wasteful number, since it uses less digits than its factorization.

5878137600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 5878137600 is about 76669.0132974202. The cubic root of 5878137600 is about 1804.7342042560.

The spelling of 5878137600 in words is "five billion, eight hundred seventy-eight million, one hundred thirty-seven thousand, six hundred".