1552355504000 has 256 divisors, whose sum is σ = 4553204797440. Its totient is φ = 515066112000.

The previous prime is 1552355503991. The next prime is 1552355504057. The reversal of 1552355504000 is 4055532551.

It is a super-2 number, since 2×1552355504000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3248447 + ... + 3695553.

It is an arithmetic number, because the mean of its divisors is an integer number (17785956240).

Almost surely, 2^{1552355504000} is an apocalyptic number.

1552355504000 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 1552355504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276602398720).

1552355504000 is an abundant number, since it is smaller than the sum of its proper divisors (3000849293440).

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

1552355504000 is an equidigital number, since it uses as much as digits as its factorization.

1552355504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447174 (or 447152 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 35.

The spelling of 1552355504000 in words is "one trillion, five hundred fifty-two billion, three hundred fifty-five million, five hundred four thousand".