82637146813050 has 240 divisors, whose sum is σ = 231375191522112. Its totient is φ = 21867174201600.

The previous prime is 82637146812977. The next prime is 82637146813087. The reversal of 82637146813050 is 5031864173628.

82637146813050 is a `hidden beast` number, since 8 + 2 + 63 + 71 + 468 + 1 + 3 + 0 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1488634795 + ... + 1488690305.

Almost surely, 2^{82637146813050} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82637146813050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115687595761056).

82637146813050 is an abundant number, since it is smaller than the sum of its proper divisors (148738044709062).

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

82637146813050 is a wasteful number, since it uses less digits than its factorization.

82637146813050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58355 (or 58341 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 82637146813050 in words is "eighty-two trillion, six hundred thirty-seven billion, one hundred forty-six million, eight hundred thirteen thousand, fifty".