1638001193920 has 112 divisors (see below), whose sum is σ = 4800603584448. Its totient is φ = 518400368640.

The previous prime is 1638001193897. The next prime is 1638001193957. The reversal of 1638001193920 is 293911008361.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1638001193920² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28095901 + ... + 28154140.

It is an arithmetic number, because the mean of its divisors is an integer number (42862532004).

Almost surely, 2^{1638001193920} is an apocalyptic number.

1638001193920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1638001193920 is an abundant number, since it is smaller than the sum of its proper divisors (3162602390528).

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

1638001193920 is a wasteful number, since it uses less digits than its factorization.

1638001193920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56250078 (or 56250068 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 43.

The spelling of 1638001193920 in words is "one trillion, six hundred thirty-eight billion, one million, one hundred ninety-three thousand, nine hundred twenty".