1985787072288 has 96 divisors (see below), whose sum is σ = 5792154419520. Its totient is φ = 661897543680.

The previous prime is 1985787072239. The next prime is 1985787072307. The reversal of 1985787072288 is 8822707875891.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1985787072288² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24506656 + ... + 24587552.

It is an arithmetic number, because the mean of its divisors is an integer number (60334941870).

Almost surely, 2^{1985787072288} is an apocalyptic number.

1985787072288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1985787072288 is an abundant number, since it is smaller than the sum of its proper divisors (3806367347232).

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

1985787072288 is a wasteful number, since it uses less digits than its factorization.

1985787072288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109327 (or 109313 counting only the distinct ones).

The product of its (nonzero) digits is 252887040, while the sum is 72.

The spelling of 1985787072288 in words is "one trillion, nine hundred eighty-five billion, seven hundred eighty-seven million, seventy-two thousand, two hundred eighty-eight".