1355053620480 has 864 divisors, whose sum is σ = 5137231051008. Its totient is φ = 303464448000.

The previous prime is 1355053620467. The next prime is 1355053620493. The reversal of 1355053620480 is 840263505531.

It is an interprime number because it is at equal distance from previous prime (1355053620467) and next prime (1355053620493).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2147469765 + ... + 2147470395.

It is an arithmetic number, because the mean of its divisors is an integer number (5945869272).

Almost surely, 2^{1355053620480} is an apocalyptic number.

1355053620480 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 1355053620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2568615525504).

1355053620480 is an abundant number, since it is smaller than the sum of its proper divisors (3782177430528).

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

1355053620480 is a wasteful number, since it uses less digits than its factorization.

1355053620480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 1355053620480 in words is "one trillion, three hundred fifty-five billion, fifty-three million, six hundred twenty thousand, four hundred eighty".