5158452600 has 576 divisors, whose sum is σ = 20961158400. Its totient is φ = 1154580480.

The previous prime is 5158452587. The next prime is 5158452623. The reversal of 5158452600 is 62548515.

5158452600 is a `hidden beast` number, since 5 + 1 + 5 + 8 + 45 + 2 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20071672 + ... + 20071928.

It is an arithmetic number, because the mean of its divisors is an integer number (36390900).

Almost surely, 2^5158452600 is an apocalyptic number.

5158452600 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 5158452600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10480579200).

5158452600 is an abundant number, since it is smaller than the sum of its proper divisors (15802705800).

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

5158452600 is a wasteful number, since it uses less digits than its factorization.

5158452600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 5158452600 is about 71822.3683820020. The cubic root of 5158452600 is about 1727.8517667983.

The spelling of 5158452600 in words is "five billion, one hundred fifty-eight million, four hundred fifty-two thousand, six hundred".