81070957351800 has 288 divisors, whose sum is σ = 308638558628400. Its totient is φ = 18905615861760.

The previous prime is 81070957351789. The next prime is 81070957351829. The reversal of 81070957351800 is 815375907018.

It is a happy number.

81070957351800 is a `hidden beast` number, since 8 + 1 + 0 + 70 + 9 + 57 + 3 + 518 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 90728317 + ... + 91617516.

Almost surely, 2^{81070957351800} is an apocalyptic number.

It is an amenable number.

81070957351800 is an abundant number, since it is smaller than the sum of its proper divisors (227567601276600).

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

81070957351800 is a wasteful number, since it uses less digits than its factorization.

81070957351800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182345887 (or 182345875 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 54.

The spelling of 81070957351800 in words is "eighty-one trillion, seventy billion, nine hundred fifty-seven million, three hundred fifty-one thousand, eight hundred".