1387958663520 has 576 divisors, whose sum is σ = 5576904260928. Its totient is φ = 309897216000.

The previous prime is 1387958663467. The next prime is 1387958663629. The reversal of 1387958663520 is 253668597831.

1387958663520 is a `hidden beast` number, since 1 + 38 + 79 + 5 + 8 + 6 + 6 + 3 + 520 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94921810 + ... + 94936430.

It is an arithmetic number, because the mean of its divisors is an integer number (9682125453).

Almost surely, 2^{1387958663520} is an apocalyptic number.

1387958663520 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 1387958663520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2788452130464).

1387958663520 is an abundant number, since it is smaller than the sum of its proper divisors (4188945597408).

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

1387958663520 is a wasteful number, since it uses less digits than its factorization.

1387958663520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15127 (or 15116 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 1387958663520 in words is "one trillion, three hundred eighty-seven billion, nine hundred fifty-eight million, six hundred sixty-three thousand, five hundred twenty".