1920059640900 has 108 divisors (see below), whose sum is σ = 6021366951600. Its totient is φ = 511756704960.

The previous prime is 1920059640871. The next prime is 1920059640953. The reversal of 1920059640900 is 90469500291.

1920059640900 is a `hidden beast` number, since 19 + 2 + 0 + 0 + 596 + 40 + 9 + 0 + 0 = 666.

It is a super-2 number, since 2×1920059640900² (a number of 25 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 1242091 + ... + 2320109.

It is an arithmetic number, because the mean of its divisors is an integer number (55753397700).

Almost surely, 2^{1920059640900} is an apocalyptic number.

1920059640900 is a gapful number since it is divisible by the number (10) 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 1920059640900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3010683475800).

1920059640900 is an abundant number, since it is smaller than the sum of its proper divisors (4101307310700).

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

1920059640900 is a wasteful number, since it uses less digits than its factorization.

1920059640900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080018 (or 1080008 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 1920059640900 in words is "one trillion, nine hundred twenty billion, fifty-nine million, six hundred forty thousand, nine hundred".