1656487552896 has 1280 divisors, whose sum is σ = 6010368376320. Its totient is φ = 450425733120.

The previous prime is 1656487552871. The next prime is 1656487552897. The reversal of 1656487552896 is 6982557846561.

1656487552896 is a `hidden beast` number, since 1 + 6 + 5 + 6 + 4 + 8 + 7 + 5 + 528 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1656487552897) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 5395724775 + ... + 5395725081.

It is an arithmetic number, because the mean of its divisors is an integer number (4695600294).

Almost surely, 2^{1656487552896} is an apocalyptic number.

1656487552896 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 1656487552896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3005184188160).

1656487552896 is an abundant number, since it is smaller than the sum of its proper divisors (4353880823424).

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

1656487552896 is a wasteful number, since it uses less digits than its factorization.

1656487552896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 363 counting only the distinct ones).

The product of its digits is 870912000, while the sum is 72.

The spelling of 1656487552896 in words is "one trillion, six hundred fifty-six billion, four hundred eighty-seven million, five hundred fifty-two thousand, eight hundred ninety-six".