1552054996800 has 1764 divisors, whose sum is σ = 7197468061728. Its totient is φ = 322299648000.

The previous prime is 1552054996781. The next prime is 1552054996813. The reversal of 1552054996800 is 86994502551.

1552054996800 is a `hidden beast` number, since 1 + 5 + 5 + 2 + 0 + 549 + 96 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 987940015 + ... + 987941585.

Almost surely, 2^{1552054996800} is an apocalyptic number.

1552054996800 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 1552054996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3598734030864).

1552054996800 is an abundant number, since it is smaller than the sum of its proper divisors (5645413064928).

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

1552054996800 is a wasteful number, since it uses less digits than its factorization.

1552054996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 1552054996800 in words is "one trillion, five hundred fifty-two billion, fifty-four million, nine hundred ninety-six thousand, eight hundred".