5155669772100 has 135 divisors (see below), whose sum is σ = 16713307057447. Its totient is φ = 1374790777920.

The previous prime is 5155669772089. The next prime is 5155669772129. The reversal of 5155669772100 is 12779665515.

The square root of 5155669772100 is 2270610.

It is a perfect power (a square), and thus also a powerful number.

5155669772100 is a `hidden beast` number, since 5 + 1 + 5 + 566 + 9 + 7 + 72 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2070335365956 + 3085334406144 = 1438866^2 + 1756512^2 .

It is a tau number, because it is divible by the number of its divisors (135).

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 204342286 + ... + 204367514.

Almost surely, 2^{5155669772100} is an apocalyptic number.

5155669772100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5155669772100 is the 2270610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5155669772100

5155669772100 is an abundant number, since it is smaller than the sum of its proper divisors (11557637285347).

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

5155669772100 is an frugal number, since it uses more digits than its factorization.

5155669772100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50484 (or 25239 counting only the distinct ones).

The product of its (nonzero) digits is 3969000, while the sum is 54.

The spelling of 5155669772100 in words is "five trillion, one hundred fifty-five billion, six hundred sixty-nine million, seven hundred seventy-two thousand, one hundred".