82261406880 has 72 divisors (see below), whose sum is σ = 280717055892. Its totient is φ = 21936374784.

The previous prime is 82261406869. The next prime is 82261406993. The reversal of 82261406880 is 8860416228.

82261406880 is a `hidden beast` number, since 8 + 22 + 614 + 0 + 6 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81972270864 + 289136016 = 286308^2 + 17004^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×82261406880² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28561549 + ... + 28564428.

Almost surely, 2^82261406880 is an apocalyptic number.

82261406880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82261406880 is an abundant number, since it is smaller than the sum of its proper divisors (198455649012).

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

82261406880 is a wasteful number, since it uses less digits than its factorization.

82261406880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57125998 (or 57125987 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 82261406880 in words is "eighty-two billion, two hundred sixty-one million, four hundred six thousand, eight hundred eighty".