5109145632756 has 192 divisors, whose sum is σ = 15581634969600. Its totient is φ = 1430965958400.

The previous prime is 5109145632637. The next prime is 5109145632809. The reversal of 5109145632756 is 6572365419015.

5109145632756 is a `hidden beast` number, since 5 + 1 + 0 + 9 + 1 + 4 + 563 + 2 + 75 + 6 = 666.

It is a super-2 number, since 2×5109145632756² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1834900 + ... + 3685803.

It is an arithmetic number, because the mean of its divisors is an integer number (81154348800).

Almost surely, 2^{5109145632756} is an apocalyptic number.

It is an amenable number.

5109145632756 is an abundant number, since it is smaller than the sum of its proper divisors (10472489336844).

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

5109145632756 is a wasteful number, since it uses less digits than its factorization.

5109145632756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5520787 (or 5520779 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 5109145632756 in words is "five trillion, one hundred nine billion, one hundred forty-five million, six hundred thirty-two thousand, seven hundred fifty-six".