82893105040 has 20 divisors (see below), whose sum is σ = 192726469404. Its totient is φ = 33157241984.

The previous prime is 82893105011. The next prime is 82893105049. The reversal of 82893105040 is 4050139828.

It can be written as a sum of positive squares in 2 ways, for example, as 31992330496 + 50900774544 = 178864^2 + 225612^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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

It is a junction number, because it is equal to n+sod(n) for n = 82893104984 and 82893105002.

It is not an unprimeable number, because it can be changed into a prime (82893105049) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 518081827 + ... + 518081986.

Almost surely, 2^82893105040 is an apocalyptic number.

82893105040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82893105040 is an abundant number, since it is smaller than the sum of its proper divisors (109833364364).

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

82893105040 is a wasteful number, since it uses less digits than its factorization.

82893105040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036163826 (or 1036163820 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 82893105040 in words is "eighty-two billion, eight hundred ninety-three million, one hundred five thousand, forty".