10387768708800 has 1344 divisors, whose sum is σ = 43870974935040. Its totient is φ = 2341986877440.

The previous prime is 10387768708799. The next prime is 10387768708817. The reversal of 10387768708800 is 880786778301.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7565744914 + ... + 7565746286.

Almost surely, 2^{10387768708800} is an apocalyptic number.

10387768708800 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 10387768708800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21935487467520).

10387768708800 is an abundant number, since it is smaller than the sum of its proper divisors (33483206226240).

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

10387768708800 is a wasteful number, since it uses less digits than its factorization.

10387768708800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 25288704, while the sum is 63.

The spelling of 10387768708800 in words is "ten trillion, three hundred eighty-seven billion, seven hundred sixty-eight million, seven hundred eight thousand, eight hundred".