81007873848 has 448 divisors, whose sum is σ = 258148062720. Its totient is φ = 23607936000.

The previous prime is 81007873829. The next prime is 81007873873. The reversal of 81007873848 is 84837870018.

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

It is a junction number, because it is equal to n+sod(n) for n = 81007873794 and 81007873803.

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, 202014448 + ... + 202014848.

Almost surely, 2^81007873848 is an apocalyptic number.

81007873848 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81007873848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129074031360).

81007873848 is an abundant number, since it is smaller than the sum of its proper divisors (177140188872).

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

81007873848 is a wasteful number, since it uses less digits than its factorization.

81007873848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 81007873848 in words is "eighty-one billion, seven million, eight hundred seventy-three thousand, eight hundred forty-eight".