93405419809020 has 144 divisors (see below), whose sum is σ = 309116006559360. Its totient is φ = 22641614985600.

The previous prime is 93405419808959. The next prime is 93405419809049. The reversal of 93405419809020 is 2090891450439.

93405419809020 is a `hidden beast` number, since 9 + 3 + 4 + 0 + 541 + 9 + 8 + 0 + 90 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18961911 + ... + 23374449.

It is an arithmetic number, because the mean of its divisors is an integer number (2146638934440).

Almost surely, 2^{93405419809020} is an apocalyptic number.

93405419809020 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

93405419809020 is an abundant number, since it is smaller than the sum of its proper divisors (215710586750340).

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

93405419809020 is a wasteful number, since it uses less digits than its factorization.

93405419809020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4423256 (or 4423251 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 93405419809020 in words is "ninety-three trillion, four hundred five billion, four hundred nineteen million, eight hundred nine thousand, twenty".