10887988456800 has 1296 divisors, whose sum is σ = 48225190890240. Its totient is φ = 2262840053760.

The previous prime is 10887988456799. The next prime is 10887988456801. The reversal of 10887988456800 is 865488978801.

10887988456800 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 7 + 98 + 8 + 456 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10887988456799) and next prime (10887988456801).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10887988456801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 570669661 + ... + 570688739.

It is an arithmetic number, because the mean of its divisors is an integer number (37210795440).

Almost surely, 2^{10887988456800} is an apocalyptic number.

10887988456800 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 10887988456800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24112595445120).

10887988456800 is an abundant number, since it is smaller than the sum of its proper divisors (37337202433440).

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

10887988456800 is a wasteful number, since it uses less digits than its factorization.

10887988456800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19205 (or 19176 counting only the distinct ones).

The product of its (nonzero) digits is 247726080, while the sum is 72.

The spelling of 10887988456800 in words is "ten trillion, eight hundred eighty-seven billion, nine hundred eighty-eight million, four hundred fifty-six thousand, eight hundred".