5877419625 has 192 divisors, whose sum is σ = 13908510720. Its totient is φ = 2313360000.

The previous prime is 5877419617. The next prime is 5877419633. The reversal of 5877419625 is 5269147785.

5877419625 is a `hidden beast` number, since 5 + 8 + 7 + 7 + 4 + 1 + 9 + 625 = 666.

It is an interprime number because it is at equal distance from previous prime (5877419617) and next prime (5877419633).

It is not a de Polignac number, because 5877419625 - 2³ = 5877419617 is a prime.

It is a super-2 number, since 2×5877419625² = 69088122896670281250, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1644090 + ... + 1647660.

It is an arithmetic number, because the mean of its divisors is an integer number (72440160).

Almost surely, 2^5877419625 is an apocalyptic number.

5877419625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5877419625 is an abundant number, since it is smaller than the sum of its proper divisors (8031091095).

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

5877419625 is a wasteful number, since it uses less digits than its factorization.

5877419625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3629 (or 3616 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 54.

The square root of 5877419625 is about 76664.3308520984. The cubic root of 5877419625 is about 1804.6607225464.

The spelling of 5877419625 in words is "five billion, eight hundred seventy-seven million, four hundred nineteen thousand, six hundred twenty-five".