82635971040 has 192 divisors, whose sum is σ = 330544005120. Its totient is φ = 18888215040.

The previous prime is 82635971023. The next prime is 82635971059. The reversal of 82635971040 is 4017953628.

82635971040 is a `hidden beast` number, since 8 + 2 + 6 + 3 + 597 + 10 + 40 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1336096 + ... + 1396575.

It is an arithmetic number, because the mean of its divisors is an integer number (1721583360).

It is a 1-persistent number, because it is pandigital, but 2⋅82635971040 = 165271942080 is not.

Almost surely, 2^82635971040 is an apocalyptic number.

82635971040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82635971040 is an abundant number, since it is smaller than the sum of its proper divisors (247908034080).

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

82635971040 is a wasteful number, since it uses less digits than its factorization.

82635971040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732702 (or 2732688 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 82635971040 in words is "eighty-two billion, six hundred thirty-five million, nine hundred seventy-one thousand, forty".