5413815900 has 144 divisors (see below), whose sum is σ = 18161337600. Its totient is φ = 1380899520.

The previous prime is 5413815871. The next prime is 5413815907. The reversal of 5413815900 is 95183145.

5413815900 is a `hidden beast` number, since 54 + 13 + 8 + 1 + 590 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5413815907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18511 + ... + 105689.

It is an arithmetic number, because the mean of its divisors is an integer number (126120400).

Almost surely, 2^5413815900 is an apocalyptic number.

5413815900 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 5413815900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9080668800).

5413815900 is an abundant number, since it is smaller than the sum of its proper divisors (12747521700).

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

5413815900 is a wasteful number, since it uses less digits than its factorization.

5413815900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87225 (or 87212 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 5413815900 is about 73578.6375247599. The cubic root of 5413815900 is about 1755.9055885888.

The spelling of 5413815900 in words is "five billion, four hundred thirteen million, eight hundred fifteen thousand, nine hundred".