1388575872000 has 1232 divisors, whose sum is σ = 5428112631552. Its totient is φ = 353640038400.

The previous prime is 1388575871959. The next prime is 1388575872011. The reversal of 1388575872000 is 2785758831.

1388575872000 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 57 + 587 + 2 + 0 + 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 polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2146175677 + ... + 2146176323.

Almost surely, 2^{1388575872000} is an apocalyptic number.

1388575872000 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 1388575872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714056315776).

1388575872000 is an abundant number, since it is smaller than the sum of its proper divisors (4039536759552).

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

1388575872000 is an frugal number, since it uses more digits than its factorization.

1388575872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 1388575872000 in words is "one trillion, three hundred eighty-eight billion, five hundred seventy-five million, eight hundred seventy-two thousand".