1552861900800 has 1404 divisors, whose sum is σ = 6543294311736. Its totient is φ = 350945280000.

The previous prime is 1552861900769. The next prime is 1552861900801. The reversal of 1552861900800 is 80091682551.

It is a happy number.

1552861900800 is a `hidden beast` number, since 1 + 5 + 5 + 28 + 619 + 0 + 0 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×1552861900800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1552861900801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6186700675 + ... + 6186700925.

It is an arithmetic number, because the mean of its divisors is an integer number (4660466034).

Almost surely, 2^{1552861900800} is an apocalyptic number.

1552861900800 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 1552861900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271647155868).

1552861900800 is an abundant number, since it is smaller than the sum of its proper divisors (4990432410936).

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

1552861900800 is a wasteful number, since it uses less digits than its factorization.

1552861900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 1552861900800 in words is "one trillion, five hundred fifty-two billion, eight hundred sixty-one million, nine hundred thousand, eight hundred".