1657212100096 has 120 divisors (see below), whose sum is σ = 3924467913960. Its totient is φ = 696832561152.

The previous prime is 1657212100081. The next prime is 1657212100123. The reversal of 1657212100096 is 6900012127561.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 706495 + ... + 1952833.

It is an arithmetic number, because the mean of its divisors is an integer number (32703899283).

Almost surely, 2^{1657212100096} is an apocalyptic number.

1657212100096 is a gapful number since it is divisible by the number (16) 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 1657212100096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962233956980).

1657212100096 is an abundant number, since it is smaller than the sum of its proper divisors (2267255813864).

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

1657212100096 is an equidigital number, since it uses as much as digits as its factorization.

1657212100096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246424 (or 1246401 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The spelling of 1657212100096 in words is "one trillion, six hundred fifty-seven billion, two hundred twelve million, one hundred thousand, ninety-six".