81121996800 has 1248 divisors, whose sum is σ = 335013210560. Its totient is φ = 19110297600.

The previous prime is 81121996793. The next prime is 81121996819. The reversal of 81121996800 is 869912118.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1329868770 + ... + 1329868830.

Almost surely, 2^81121996800 is an apocalyptic number.

81121996800 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 81121996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167506605280).

81121996800 is an abundant number, since it is smaller than the sum of its proper divisors (253891213760).

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

81121996800 is a wasteful number, since it uses less digits than its factorization.

81121996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The spelling of 81121996800 in words is "eighty-one billion, one hundred twenty-one million, nine hundred ninety-six thousand, eight hundred".