81292842086400 has 2808 divisors, whose sum is σ = 357341841043824. Its totient is φ = 18259889356800.

The previous prime is 81292842086377. The next prime is 81292842086419. The reversal of 81292842086400 is 468024829218.

81292842086400 is a `hidden beast` number, since 8 + 1 + 2 + 9 + 28 + 4 + 208 + 6 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 74375884254 + ... + 74375885346.

Almost surely, 2^{81292842086400} is an apocalyptic number.

81292842086400 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 81292842086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178670920521912).

81292842086400 is an abundant number, since it is smaller than the sum of its proper divisors (276048998957424).

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

81292842086400 is a wasteful number, since it uses less digits than its factorization.

81292842086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 81292842086400 in words is "eighty-one trillion, two hundred ninety-two billion, eight hundred forty-two million, eighty-six thousand, four hundred".