1387501056000 has 832 divisors, whose sum is σ = 5308475702400. Its totient is φ = 357138432000.

The previous prime is 1387501055989. The next prime is 1387501056041. The reversal of 1387501056000 is 6501057831.

1387501056000 is a `hidden beast` number, since 1 + 3 + 87 + 5 + 0 + 10 + 560 + 0 + 0 = 666.

It is a super-2 number, since 2×1387501056000² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 400894270 + ... + 400897730.

It is an arithmetic number, because the mean of its divisors is an integer number (6380379450).

Almost surely, 2^{1387501056000} is an apocalyptic number.

1387501056000 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 1387501056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654237851200).

1387501056000 is an abundant number, since it is smaller than the sum of its proper divisors (3920974646400).

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

1387501056000 is an equidigital number, since it uses as much as digits as its factorization.

1387501056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3538 (or 3500 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 1387501056000 in words is "one trillion, three hundred eighty-seven billion, five hundred one million, fifty-six thousand".