81879834783744 has 1456 divisors, whose sum is σ = 273041795706624. Its totient is φ = 24422960332800.

The previous prime is 81879834783731. The next prime is 81879834783751. The reversal of 81879834783744 is 44738743897818.

81879834783744 is a `hidden beast` number, since 8 + 1 + 8 + 79 + 8 + 3 + 478 + 3 + 74 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 95990427222 + ... + 95990428074.

Almost surely, 2^{81879834783744} 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 81879834783744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136520897853312).

81879834783744 is an abundant number, since it is smaller than the sum of its proper divisors (191161960922880).

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

81879834783744 is an equidigital number, since it uses as much as digits as its factorization.

81879834783744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 967 counting only the distinct ones).

The product of its digits is 7283146752, while the sum is 81.

The spelling of 81879834783744 in words is "eighty-one trillion, eight hundred seventy-nine billion, eight hundred thirty-four million, seven hundred eighty-three thousand, seven hundred forty-four".