1657356393420 has 288 divisors, whose sum is σ = 6331361068032. Its totient is φ = 341551655424.

The previous prime is 1657356393349. The next prime is 1657356393439. The reversal of 1657356393420 is 243936537561.

1657356393420 is a `hidden beast` number, since 1 + 6 + 5 + 73 + 5 + 63 + 93 + 420 = 666.

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 95 ways as a sum of consecutive naturals, for example, 472192 + ... + 1880871.

Almost surely, 2^{1657356393420} is an apocalyptic number.

1657356393420 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 1657356393420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3165680534016).

1657356393420 is an abundant number, since it is smaller than the sum of its proper divisors (4674004674612).

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

1657356393420 is a wasteful number, since it uses less digits than its factorization.

1657356393420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2353141 (or 2353136 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 54.

The spelling of 1657356393420 in words is "one trillion, six hundred fifty-seven billion, three hundred fifty-six million, three hundred ninety-three thousand, four hundred twenty".