84739210000 has 225 divisors, whose sum is σ = 213291622489. Its totient is φ = 32603200000.

The previous prime is 84739209949. The next prime is 84739210013. The reversal of 84739210000 is 1293748.

The square root of 84739210000 is 291100.

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

It can be written as a sum of positive squares in 7 ways, for example, as 84408843024 + 330366976 = 290532^2 + 18176^2 .

It is a super-2 number, since 2×84739210000² (a number of 23 digits) contains 22 as substring.

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, 1193509965 + ... + 1193510035.

Almost surely, 2^84739210000 is an apocalyptic number.

84739210000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

84739210000 is the 291100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84739210000

84739210000 is an abundant number, since it is smaller than the sum of its proper divisors (128552412489).

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

84739210000 is an frugal number, since it uses more digits than its factorization.

84739210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 84739210000 in words is "eighty-four billion, seven hundred thirty-nine million, two hundred ten thousand".