5876987400 has 240 divisors, whose sum is σ = 20525472000. Its totient is φ = 1558465920.

The previous prime is 5876987399. The next prime is 5876987401. The reversal of 5876987400 is 47896785.

It is an interprime number because it is at equal distance from previous prime (5876987399) and next prime (5876987401).

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

It is not an unprimeable number, because it can be changed into a prime (5876987401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3222889 + ... + 3224711.

It is an arithmetic number, because the mean of its divisors is an integer number (85522800).

Almost surely, 2^5876987400 is an apocalyptic number.

5876987400 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 5876987400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10262736000).

5876987400 is an abundant number, since it is smaller than the sum of its proper divisors (14648484600).

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

5876987400 is a wasteful number, since it uses less digits than its factorization.

5876987400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2050 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 5876987400 is about 76661.5118556894. The cubic root of 5876987400 is about 1804.6164832570.

The spelling of 5876987400 in words is "five billion, eight hundred seventy-six million, nine hundred eighty-seven thousand, four hundred".