1380903552000 has 1760 divisors, whose sum is σ = 6009164029440. Its totient is φ = 308817100800.

The previous prime is 1380903551959. The next prime is 1380903552047. The reversal of 1380903552000 is 2553090831.

1380903552000 is a `hidden beast` number, since 13 + 8 + 0 + 90 + 3 + 552 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3846527821 + ... + 3846528179.

It is an arithmetic number, because the mean of its divisors is an integer number (3414297744).

Almost surely, 2^{1380903552000} is an apocalyptic number.

1380903552000 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 1380903552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3004582014720).

1380903552000 is an abundant number, since it is smaller than the sum of its proper divisors (4628260477440).

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

1380903552000 is an equidigital number, since it uses as much as digits as its factorization.

1380903552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 1380903552000 in words is "one trillion, three hundred eighty billion, nine hundred three million, five hundred fifty-two thousand".