1655787161600 has 1152 divisors, whose sum is σ = 5223861901440. Its totient is φ = 511180800000.

The previous prime is 1655787161557. The next prime is 1655787161627. The reversal of 1655787161600 is 61617875561.

It is a super-2 number, since 2×1655787161600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6596761475 + ... + 6596761725.

It is an arithmetic number, because the mean of its divisors is an integer number (4534602345).

Almost surely, 2^{1655787161600} is an apocalyptic number.

1655787161600 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 1655787161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611930950720).

1655787161600 is an abundant number, since it is smaller than the sum of its proper divisors (3568074739840).

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

1655787161600 is a wasteful number, since it uses less digits than its factorization.

1655787161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 53.

The spelling of 1655787161600 in words is "one trillion, six hundred fifty-five billion, seven hundred eighty-seven million, one hundred sixty-one thousand, six hundred".