82205246551000 has 128 divisors (see below), whose sum is σ = 193497932160000. Its totient is φ = 32687860224000.

The previous prime is 82205246550937. The next prime is 82205246551031. The reversal of 82205246551000 is 15564250228.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284254476 + ... + 284543524.

It is an arithmetic number, because the mean of its divisors is an integer number (1511702595000).

Almost surely, 2^{82205246551000} 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 82205246551000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96748966080000).

82205246551000 is an abundant number, since it is smaller than the sum of its proper divisors (111292685609000).

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

82205246551000 is a wasteful number, since it uses less digits than its factorization.

82205246551000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290750 (or 290736 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 40.

The spelling of 82205246551000 in words is "eighty-two trillion, two hundred five billion, two hundred forty-six million, five hundred fifty-one thousand".