5145277579884 has 192 divisors, whose sum is σ = 15330554265600. Its totient is φ = 1478301705216.

The previous prime is 5145277579847. The next prime is 5145277579919. The reversal of 5145277579884 is 4889757725415.

5145277579884 is a `hidden beast` number, since 5 + 1 + 4 + 527 + 7 + 5 + 7 + 98 + 8 + 4 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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, 2182527 + ... + 3879945.

It is an arithmetic number, because the mean of its divisors is an integer number (79846636800).

Almost surely, 2^{5145277579884} is an apocalyptic number.

5145277579884 is a gapful number since it is divisible by the number (54) 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 5145277579884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7665277132800).

5145277579884 is an abundant number, since it is smaller than the sum of its proper divisors (10185276685716).

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

5145277579884 is a wasteful number, since it uses less digits than its factorization.

5145277579884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697589 (or 1697581 counting only the distinct ones).

The product of its digits is 790272000, while the sum is 72.

The spelling of 5145277579884 in words is "five trillion, one hundred forty-five billion, two hundred seventy-seven million, five hundred seventy-nine thousand, eight hundred eighty-four".