81935400960 has 952 divisors, whose sum is σ = 343825447200. Its totient is φ = 18728091648.

The previous prime is 81935400889. The next prime is 81935400971. The reversal of 81935400960 is 6900453918.

It is a happy number.

81935400960 is a `hidden beast` number, since 8 + 19 + 3 + 540 + 0 + 96 + 0 = 666.

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 55 ways as a sum of consecutive naturals, for example, 11705057277 + ... + 11705057283.

Almost surely, 2^81935400960 is an apocalyptic number.

81935400960 is a gapful number since it is divisible by the number (80) 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 81935400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171912723600).

81935400960 is an abundant number, since it is smaller than the sum of its proper divisors (261890046240).

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

81935400960 is an frugal number, since it uses more digits than its factorization.

81935400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 81935400960 in words is "eighty-one billion, nine hundred thirty-five million, four hundred thousand, nine hundred sixty".