16752124900 has 135 divisors (see below), whose sum is σ = 43293986169. Its totient is φ = 5610013920.

The previous prime is 16752124861. The next prime is 16752124919. The reversal of 16752124900 is 942125761.

The square root of 16752124900 is 129430.

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

It can be written as a sum of positive squares in only one way, i.e., 6030764964 + 10721359936 = 77658^2 + 103544^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 16752124900.

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, 389584279 + ... + 389584321.

Almost surely, 2^16752124900 is an apocalyptic number.

16752124900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16752124900 is the 129430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16752124900

16752124900 is an abundant number, since it is smaller than the sum of its proper divisors (26541861269).

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

16752124900 is an frugal number, since it uses more digits than its factorization.

16752124900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 16752124900 in words is "sixteen billion, seven hundred fifty-two million, one hundred twenty-four thousand, nine hundred".