81070295040 has 480 divisors, whose sum is σ = 332116424640. Its totient is φ = 18529026048.

The previous prime is 81070295039. The next prime is 81070295107. The reversal of 81070295040 is 4059207018.

81070295040 is a `hidden beast` number, since 81 + 0 + 70 + 2 + 9 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 81070294986 and 81070295004.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5799099 + ... + 5813061.

It is an arithmetic number, because the mean of its divisors is an integer number (691909218).

Almost surely, 2^81070295040 is an apocalyptic number.

81070295040 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 81070295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166058212320).

81070295040 is an abundant number, since it is smaller than the sum of its proper divisors (251046129600).

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

81070295040 is a wasteful number, since it uses less digits than its factorization.

81070295040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14009 (or 13980 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 81070295040 in words is "eighty-one billion, seventy million, two hundred ninety-five thousand, forty".