1355568897760 has 384 divisors, whose sum is σ = 4143367323648. Its totient is φ = 406722816000.

The previous prime is 1355568897743. The next prime is 1355568897773. The reversal of 1355568897760 is 677988655531.

It is a happy number.

It is a super-2 number, since 2×1355568897760² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 1355568897760.

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, 72937429 + ... + 72956011.

It is an arithmetic number, because the mean of its divisors is an integer number (10790019072).

Almost surely, 2^{1355568897760} is an apocalyptic number.

1355568897760 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 1355568897760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2071683661824).

1355568897760 is an abundant number, since it is smaller than the sum of its proper divisors (2787798425888).

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

1355568897760 is a wasteful number, since it uses less digits than its factorization.

1355568897760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18838 (or 18830 counting only the distinct ones).

The product of its (nonzero) digits is 381024000, while the sum is 70.

The spelling of 1355568897760 in words is "one trillion, three hundred fifty-five billion, five hundred sixty-eight million, eight hundred ninety-seven thousand, seven hundred sixty".