1657081100052 has 192 divisors, whose sum is σ = 5081653248000. Its totient is φ = 456902861184.

The previous prime is 1657081100029. The next prime is 1657081100063. The reversal of 1657081100052 is 2500011807561.

1657081100052 is a `hidden beast` number, since 1 + 6 + 570 + 81 + 1 + 0 + 0 + 0 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47755053 + ... + 47789739.

It is an arithmetic number, because the mean of its divisors is an integer number (26466944000).

Almost surely, 2^{1657081100052} is an apocalyptic number.

1657081100052 is a gapful number since it is divisible by the number (12) 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 1657081100052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540826624000).

1657081100052 is an abundant number, since it is smaller than the sum of its proper divisors (3424572147948).

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

1657081100052 is a wasteful number, since it uses less digits than its factorization.

1657081100052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36915 (or 36907 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The spelling of 1657081100052 in words is "one trillion, six hundred fifty-seven billion, eighty-one million, one hundred thousand, fifty-two".