5110995248100 has 2304 divisors, whose sum is σ = 22138583040000. Its totient is φ = 982747054080.

The previous prime is 5110995248057. The next prime is 5110995248143. The reversal of 5110995248100 is 18425990115.

5110995248100 is a `hidden beast` number, since 5 + 1 + 10 + 9 + 9 + 524 + 8 + 100 = 666.

It is an interprime number because it is at equal distance from previous prime (5110995248057) and next prime (5110995248143).

It is a super-2 number, since 2×5110995248100² (a number of 26 digits) contains 22 as substring.

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 767 ways as a sum of consecutive naturals, for example, 12496320696 + ... + 12496321104.

It is an arithmetic number, because the mean of its divisors is an integer number (9608760000).

Almost surely, 2^{5110995248100} is an apocalyptic number.

5110995248100 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 5110995248100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11069291520000).

5110995248100 is an abundant number, since it is smaller than the sum of its proper divisors (17027587791900).

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

5110995248100 is a wasteful number, since it uses less digits than its factorization.

5110995248100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The spelling of 5110995248100 in words is "five trillion, one hundred ten billion, nine hundred ninety-five million, two hundred forty-eight thousand, one hundred".