1552135011840 has 2240 divisors, whose sum is σ = 7013683416960. Its totient is φ = 321052999680.

The previous prime is 1552135011803. The next prime is 1552135011887. The reversal of 1552135011840 is 481105312551.

1552135011840 is a `hidden beast` number, since 1 + 5 + 521 + 3 + 50 + 1 + 1 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1552135011795 and 1552135011804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 6440394120 + ... + 6440394360.

Almost surely, 2^{1552135011840} is an apocalyptic number.

1552135011840 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 1552135011840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3506841708480).

1552135011840 is an abundant number, since it is smaller than the sum of its proper divisors (5461548405120).

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

1552135011840 is an equidigital number, since it uses as much as digits as its factorization.

1552135011840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The spelling of 1552135011840 in words is "one trillion, five hundred fifty-two billion, one hundred thirty-five million, eleven thousand, eight hundred forty".