81847392359040 has 2304 divisors, whose sum is σ = 379112926832640. Its totient is φ = 15888546938880.

The previous prime is 81847392359011. The next prime is 81847392359071. The reversal of 81847392359040 is 4095329374818.

81847392359040 is a `hidden beast` number, since 8 + 1 + 8 + 4 + 7 + 39 + 2 + 3 + 590 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4825045599 + ... + 4825062561.

It is an arithmetic number, because the mean of its divisors is an integer number (164545541160).

Almost surely, 2^{81847392359040} is an apocalyptic number.

81847392359040 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 81847392359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189556463416320).

81847392359040 is an abundant number, since it is smaller than the sum of its proper divisors (297265534473600).

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

81847392359040 is a wasteful number, since it uses less digits than its factorization.

81847392359040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17083 (or 17057 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 81847392359040 in words is "eighty-one trillion, eight hundred forty-seven billion, three hundred ninety-two million, three hundred fifty-nine thousand, forty".