5119186400 has 36 divisors (see below), whose sum is σ = 12497215752. Its totient is φ = 2047674240.

The previous prime is 5119186399. The next prime is 5119186403. The reversal of 5119186400 is 46819115.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5119186403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3198692 + ... + 3200291.

It is an arithmetic number, because the mean of its divisors is an integer number (347144882).

Almost surely, 2^5119186400 is an apocalyptic number.

5119186400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5119186400 is an abundant number, since it is smaller than the sum of its proper divisors (7378029352).

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

5119186400 is a wasteful number, since it uses less digits than its factorization.

5119186400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6399003 (or 6398990 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 35.

The square root of 5119186400 is about 71548.4898512890. The cubic root of 5119186400 is about 1723.4564530194.

The spelling of 5119186400 in words is "five billion, one hundred nineteen million, one hundred eighty-six thousand, four hundred".