10787471755200 has 1512 divisors, whose sum is σ = 45885988983744. Its totient is φ = 2395201536000.

The previous prime is 10787471755199. The next prime is 10787471755211. The reversal of 10787471755200 is 255717478701.

10787471755200 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 7 + 47 + 1 + 75 + 520 + 0 = 666.

10787471755200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 8129216937 + ... + 8129218263.

It is an arithmetic number, because the mean of its divisors is an integer number (30347876312).

Almost surely, 2^{10787471755200} is an apocalyptic number.

10787471755200 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 10787471755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22942994491872).

10787471755200 is an abundant number, since it is smaller than the sum of its proper divisors (35098517228544).

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

10787471755200 is a wasteful number, since it uses less digits than its factorization.

10787471755200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 3841600, while the sum is 54.

The spelling of 10787471755200 in words is "ten trillion, seven hundred eighty-seven billion, four hundred seventy-one million, seven hundred fifty-five thousand, two hundred".