81602260416 has 84 divisors (see below), whose sum is σ = 234367705000. Its totient is φ = 27146147328.

The previous prime is 81602260393. The next prime is 81602260417. The reversal of 81602260416 is 61406220618.

81602260416 is a `hidden beast` number, since 8 + 1 + 602 + 2 + 6 + 0 + 41 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81602260417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145470 + ... + 429378.

Almost surely, 2^81602260416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81602260416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117183852500).

81602260416 is an abundant number, since it is smaller than the sum of its proper divisors (152765444584).

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

81602260416 is a wasteful number, since it uses less digits than its factorization.

81602260416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284426 (or 284413 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 81602260416 in words is "eighty-one billion, six hundred two million, two hundred sixty thousand, four hundred sixteen".