85899274100640 has 3840 divisors, whose sum is σ = 424429343686656. Its totient is φ = 15785703014400.

The previous prime is 85899274100597. The next prime is 85899274100749. The reversal of 85899274100640 is 4600147299858.

85899274100640 is a `hidden beast` number, since 8 + 58 + 99 + 27 + 410 + 0 + 64 + 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 639 ways as a sum of consecutive naturals, for example, 32159966505 + ... + 32159969175.

Almost surely, 2^{85899274100640} is an apocalyptic number.

85899274100640 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 85899274100640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212214671843328).

85899274100640 is an abundant number, since it is smaller than the sum of its proper divisors (338530069586016).

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

85899274100640 is a wasteful number, since it uses less digits than its factorization.

85899274100640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2833 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 85899274100640 in words is "eighty-five trillion, eight hundred ninety-nine billion, two hundred seventy-four million, one hundred thousand, six hundred forty".