81426788352 has 1248 divisors, whose sum is σ = 320573460480. Its totient is φ = 20065812480.

The previous prime is 81426788351. The next prime is 81426788371. The reversal of 81426788352 is 25388762418.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×81426788352² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (81426788351) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2626670577 + ... + 2626670607.

It is an arithmetic number, because the mean of its divisors is an integer number (256869760).

Almost surely, 2^81426788352 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 81426788352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160286730240).

81426788352 is an abundant number, since it is smaller than the sum of its proper divisors (239146672128).

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

81426788352 is a wasteful number, since it uses less digits than its factorization.

81426788352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 85 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 81426788352 in words is "eighty-one billion, four hundred twenty-six million, seven hundred eighty-eight thousand, three hundred fifty-two".