1387261209600 has 1320 divisors, whose sum is σ = 6062046194688. Its totient is φ = 306760089600.

The previous prime is 1387261209553. The next prime is 1387261209629. The reversal of 1387261209600 is 69021627831.

1387261209600 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 26 + 12 + 0 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 449969659 + ... + 449972741.

Almost surely, 2^{1387261209600} is an apocalyptic number.

1387261209600 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 1387261209600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3031023097344).

1387261209600 is an abundant number, since it is smaller than the sum of its proper divisors (4674784985088).

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

1387261209600 is a wasteful number, since it uses less digits than its factorization.

1387261209600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3163 (or 3131 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1387261209600 in words is "one trillion, three hundred eighty-seven billion, two hundred sixty-one million, two hundred nine thousand, six hundred".