71829450000 has 960 divisors, whose sum is σ = 321759406080. Its totient is φ = 14904000000.

The previous prime is 71829449999. The next prime is 71829450031. The reversal of 71829450000 is 5492817.

71829450000 is a `hidden beast` number, since 71 + 82 + 9 + 4 + 500 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 103949655 + ... + 103950345.

It is an arithmetic number, because the mean of its divisors is an integer number (335166048).

Almost surely, 2^71829450000 is an apocalyptic number.

71829450000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71829450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160879703040).

71829450000 is an abundant number, since it is smaller than the sum of its proper divisors (249929956080).

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

71829450000 is a wasteful number, since it uses less digits than its factorization.

71829450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 71829450000 in words is "seventy-one billion, eight hundred twenty-nine million, four hundred fifty thousand".