3992101522560 has 96 divisors (see below), whose sum is σ = 13785225589980. Its totient is φ = 1064560404480.

The previous prime is 3992101522553. The next prime is 3992101522583. The reversal of 3992101522560 is 652251012993.

3992101522560 is a `hidden beast` number, since 39 + 9 + 2 + 1 + 0 + 1 + 52 + 2 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3992099904576 + 1617984 = 1998024^2 + 1272^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 346530831 + ... + 346542350.

Almost surely, 2^{3992101522560} is an apocalyptic number.

3992101522560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3992101522560 is an abundant number, since it is smaller than the sum of its proper divisors (9793124067420).

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

3992101522560 is a wasteful number, since it uses less digits than its factorization.

3992101522560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693073206 (or 693073191 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 3992101522560 in words is "three trillion, nine hundred ninety-two billion, one hundred one million, five hundred twenty-two thousand, five hundred sixty".