5069132976600 has 2880 divisors, whose sum is σ = 23517264798720. Its totient is φ = 999371520000.

The previous prime is 5069132976541. The next prime is 5069132976619. The reversal of 5069132976600 is 66792319605.

5069132976600 is a `hidden beast` number, since 5 + 0 + 6 + 9 + 1 + 3 + 29 + 7 + 6 + 600 = 666.

It is a super-2 number, since 2×5069132976600² (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 719 ways as a sum of consecutive naturals, for example, 16511833647 + ... + 16511833953.

It is an arithmetic number, because the mean of its divisors is an integer number (8165716944).

Almost surely, 2^{5069132976600} is an apocalyptic number.

5069132976600 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 5069132976600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11758632399360).

5069132976600 is an abundant number, since it is smaller than the sum of its proper divisors (18448131822120).

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

5069132976600 is a wasteful number, since it uses less digits than its factorization.

5069132976600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 5069132976600 in words is "five trillion, sixty-nine billion, one hundred thirty-two million, nine hundred seventy-six thousand, six hundred".