1387210506000 has 640 divisors, whose sum is σ = 5332719255552. Its totient is φ = 306293760000.

The previous prime is 1387210505981. The next prime is 1387210506107. The reversal of 1387210506000 is 6050127831.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34762059 + ... + 34801941.

Almost surely, 2^{1387210506000} is an apocalyptic number.

1387210506000 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 1387210506000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2666359627776).

1387210506000 is an abundant number, since it is smaller than the sum of its proper divisors (3945508749552).

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

1387210506000 is a wasteful number, since it uses less digits than its factorization.

1387210506000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39968 (or 39952 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 1387210506000 in words is "one trillion, three hundred eighty-seven billion, two hundred ten million, five hundred six thousand".