5258747132100 has 972 divisors, whose sum is σ = 21503805598912. Its totient is φ = 1092611203200.

The previous prime is 5258747132077. The next prime is 5258747132101. The reversal of 5258747132100 is 12317478525.

5258747132100 is a `hidden beast` number, since 5 + 2 + 587 + 47 + 1 + 3 + 21 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (972).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5258747132101) by changing a digit.

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 323 ways as a sum of consecutive naturals, for example, 555711969 + ... + 555721431.

Almost surely, 2^{5258747132100} is an apocalyptic number.

5258747132100 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 5258747132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10751902799456).

5258747132100 is an abundant number, since it is smaller than the sum of its proper divisors (16245058466812).

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

5258747132100 is a wasteful number, since it uses less digits than its factorization.

5258747132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9530 (or 9491 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 5258747132100 in words is "five trillion, two hundred fifty-eight billion, seven hundred forty-seven million, one hundred thirty-two thousand, one hundred".