82642929126400 has 264 divisors, whose sum is σ = 207786443673600. Its totient is φ = 32587376640000.

The previous prime is 82642929126379. The next prime is 82642929126463. The reversal of 82642929126400 is 462192924628.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 506312001 + ... + 506475199.

It is an arithmetic number, because the mean of its divisors is an integer number (787069862400).

Almost surely, 2^{82642929126400} is an apocalyptic number.

82642929126400 is a gapful number since it is divisible by the number (80) 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 82642929126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103893221836800).

82642929126400 is an abundant number, since it is smaller than the sum of its proper divisors (125143514547200).

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

82642929126400 is a wasteful number, since it uses less digits than its factorization.

82642929126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163511 (or 163488 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 55.

The spelling of 82642929126400 in words is "eighty-two trillion, six hundred forty-two billion, nine hundred twenty-nine million, one hundred twenty-six thousand, four hundred".