85700121294096 has 105 divisors (see below), whose sum is σ = 248954997130581. Its totient is φ = 28566373830336.

The previous prime is 85700121294089. The next prime is 85700121294113. The reversal of 85700121294096 is 69049212100758.

It is a happy number.

The square root of 85700121294096 is 9257436.

It is a perfect power (a square), and thus also a powerful number.

85700121294096 is a `hidden beast` number, since 8 + 570 + 0 + 1 + 2 + 1 + 29 + 40 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17096405648400 + 68603715645696 = 4134780^2 + 8282736^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 999760230 + ... + 999845946.

Almost surely, 2^{85700121294096} is an apocalyptic number.

85700121294096 is the 9257436-th square number.

It is an amenable number.

85700121294096 is an abundant number, since it is smaller than the sum of its proper divisors (163254875836485).

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

85700121294096 is an frugal number, since it uses more digits than its factorization.

85700121294096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171460 (or 85722 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 85700121294096 in words is "eighty-five trillion, seven hundred billion, one hundred twenty-one million, two hundred ninety-four thousand, ninety-six".