47109828595600 has 405 divisors, whose sum is σ = 121481864300433. Its totient is φ = 17554716453120.

The previous prime is 47109828595573. The next prime is 47109828595619. The reversal of 47109828595600 is 659582890174.

It is a happy number.

The square root of 47109828595600 is 6863660.

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., 16959538294416 + 30150290301184 = 4118196^2 + 5490928^2 .

It is a super-2 number, since 2×47109828595600² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 135763194627 + ... + 135763194973.

Almost surely, 2^{47109828595600} is an apocalyptic number.

47109828595600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

47109828595600 is the 6863660-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47109828595600

47109828595600 is an abundant number, since it is smaller than the sum of its proper divisors (74372035704833).

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

47109828595600 is an equidigital number, since it uses as much as digits as its factorization.

47109828595600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 64.

The spelling of 47109828595600 in words is "forty-seven trillion, one hundred nine billion, eight hundred twenty-eight million, five hundred ninety-five thousand, six hundred".