81474355200 has 552 divisors, whose sum is σ = 316216929472. Its totient is φ = 18119393280.

The previous prime is 81474355147. The next prime is 81474355201. The reversal of 81474355200 is 255347418.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81474355201) 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, 2202009582 + ... + 2202009618.

Almost surely, 2^81474355200 is an apocalyptic number.

81474355200 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 81474355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158108464736).

81474355200 is an abundant number, since it is smaller than the sum of its proper divisors (234742574272).

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

81474355200 is an frugal number, since it uses more digits than its factorization.

81474355200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 81474355200 in words is "eighty-one billion, four hundred seventy-four million, three hundred fifty-five thousand, two hundred".