81893054400 has 168 divisors, whose sum is σ = 270795048960. Its totient is φ = 21666032640.

The previous prime is 81893054393. The next prime is 81893054407. The reversal of 81893054400 is 445039818.

It is an interprime number because it is at equal distance from previous prime (81893054393) and next prime (81893054407).

It is a super-2 number, since 2×81893054400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81893054407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 542431 + ... + 676769.

Almost surely, 2^81893054400 is an apocalyptic number.

81893054400 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 81893054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135397524480).

81893054400 is an abundant number, since it is smaller than the sum of its proper divisors (188901994560).

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

81893054400 is a wasteful number, since it uses less digits than its factorization.

81893054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134491 (or 134476 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 81893054400 in words is "eighty-one billion, eight hundred ninety-three million, fifty-four thousand, four hundred".