82033871400 has 288 divisors, whose sum is σ = 301722876000. Its totient is φ = 19850365440.

The previous prime is 82033871377. The next prime is 82033871417. The reversal of 82033871400 is 417833028.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1350891 + ... + 1410309.

It is an arithmetic number, because the mean of its divisors is an integer number (1047648875).

Almost surely, 2^82033871400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82033871400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150861438000).

82033871400 is an abundant number, since it is smaller than the sum of its proper divisors (219689004600).

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

82033871400 is a wasteful number, since it uses less digits than its factorization.

82033871400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59513 (or 59501 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 82033871400 in words is "eighty-two billion, thirty-three million, eight hundred seventy-one thousand, four hundred".