5130890585100 has 864 divisors, whose sum is σ = 19617954370560. Its totient is φ = 1095607296000.

The previous prime is 5130890585099. The next prime is 5130890585111. The reversal of 5130890585100 is 15850980315.

5130890585100 is a `hidden beast` number, since 5 + 1 + 3 + 0 + 89 + 0 + 58 + 510 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3464476360 + ... + 3464477840.

Almost surely, 2^{5130890585100} is an apocalyptic number.

5130890585100 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 5130890585100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9808977185280).

5130890585100 is an abundant number, since it is smaller than the sum of its proper divisors (14487063785460).

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

5130890585100 is a wasteful number, since it uses less digits than its factorization.

5130890585100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1911 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 45.

The spelling of 5130890585100 in words is "five trillion, one hundred thirty billion, eight hundred ninety million, five hundred eighty-five thousand, one hundred".