1655793897408 has 2016 divisors, whose sum is σ = 6610234176000. Its totient is φ = 408213872640.

The previous prime is 1655793897383. The next prime is 1655793897467. The reversal of 1655793897408 is 8047983975561.

1655793897408 is a `hidden beast` number, since 1 + 6 + 5 + 57 + 93 + 89 + 7 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 53412706353 + ... + 53412706383.

It is an arithmetic number, because the mean of its divisors is an integer number (3278886000).

Almost surely, 2^{1655793897408} is an apocalyptic number.

1655793897408 is a gapful number since it is divisible by the number (18) 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 1655793897408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3305117088000).

1655793897408 is an abundant number, since it is smaller than the sum of its proper divisors (4954440278592).

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

1655793897408 is an equidigital number, since it uses as much as digits as its factorization.

1655793897408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 72.

The spelling of 1655793897408 in words is "one trillion, six hundred fifty-five billion, seven hundred ninety-three million, eight hundred ninety-seven thousand, four hundred eight".