82511994263040 has 800 divisors, whose sum is σ = 311619622612320. Its totient is φ = 20809394159616.

The previous prime is 82511994263033. The next prime is 82511994263071. The reversal of 82511994263040 is 4036249911528.

It is a happy number.

82511994263040 is a `hidden beast` number, since 8 + 2 + 511 + 9 + 94 + 2 + 6 + 30 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2336307462 + ... + 2336342778.

Almost surely, 2^{82511994263040} is an apocalyptic number.

82511994263040 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 82511994263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155809811306160).

82511994263040 is an abundant number, since it is smaller than the sum of its proper divisors (229107628349280).

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

82511994263040 is a wasteful number, since it uses less digits than its factorization.

82511994263040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35964 (or 35939 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 82511994263040 in words is "eighty-two trillion, five hundred eleven billion, nine hundred ninety-four million, two hundred sixty-three thousand, forty".