81800487400896 has 1344 divisors, whose sum is σ = 271763622014976. Its totient is φ = 23304211660800.

The previous prime is 81800487400867. The next prime is 81800487400897. The reversal of 81800487400896 is 69800478400818.

81800487400896 is a `hidden beast` number, since 8 + 180 + 0 + 48 + 7 + 400 + 8 + 9 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81800487400897) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 360354569935 + ... + 360354570161.

It is an arithmetic number, because the mean of its divisors is an integer number (202205075904).

Almost surely, 2^{81800487400896} 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 81800487400896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135881811007488).

81800487400896 is an abundant number, since it is smaller than the sum of its proper divisors (189963134614080).

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

81800487400896 is a wasteful number, since it uses less digits than its factorization.

81800487400896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 81800487400896 in words is "eighty-one trillion, eight hundred billion, four hundred eighty-seven million, four hundred thousand, eight hundred ninety-six".