84811759048900 has 81 divisors (see below), whose sum is σ = 199290373182453. Its totient is φ = 31314668985600.

The previous prime is 84811759048879. The next prime is 84811759048903. The reversal of 84811759048900 is 984095711848.

The square root of 84811759048900 is 9209330.

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

It can be written as a sum of positive squares in 13 ways, for example, as 80197648838596 + 4614110210304 = 8955314^2 + 2148048^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84811759048903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1197177480 + ... + 1197248320.

Almost surely, 2^{84811759048900} is an apocalyptic number.

84811759048900 is the 9209330-th square number.

It is an amenable number.

84811759048900 is an abundant number, since it is smaller than the sum of its proper divisors (114478614133553).

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

84811759048900 is an frugal number, since it uses more digits than its factorization.

84811759048900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141722 (or 70861 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 64.

The spelling of 84811759048900 in words is "eighty-four trillion, eight hundred eleven billion, seven hundred fifty-nine million, forty-eight thousand, nine hundred".