5104577400 has 144 divisors (see below), whose sum is σ = 17135409960. Its totient is φ = 1256486400.

The previous prime is 5104577383. The next prime is 5104577431. The reversal of 5104577400 is 47754015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 76230 + ... + 126570.

Almost surely, 2^5104577400 is an apocalyptic number.

5104577400 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 5104577400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8567704980).

5104577400 is an abundant number, since it is smaller than the sum of its proper divisors (12030832560).

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

5104577400 is a wasteful number, since it uses less digits than its factorization.

5104577400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50386 (or 50364 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 33.

The square root of 5104577400 is about 71446.3253078841. The cubic root of 5104577400 is about 1721.8154393799.

The spelling of 5104577400 in words is "five billion, one hundred four million, five hundred seventy-seven thousand, four hundred".