87011468544 has 1728 divisors, whose sum is σ = 357017794560. Its totient is φ = 18393661440.

The previous prime is 87011468539. The next prime is 87011468561. The reversal of 87011468544 is 44586411078.

It is a super-3 number, since 3×87011468544³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 87011468493 and 87011468502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2351661294 + ... + 2351661330.

It is an arithmetic number, because the mean of its divisors is an integer number (206607520).

Almost surely, 2^87011468544 is an apocalyptic number.

87011468544 is a gapful number since it is divisible by the number (84) 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 87011468544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178508897280).

87011468544 is an abundant number, since it is smaller than the sum of its proper divisors (270006326016).

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

87011468544 is a wasteful number, since it uses less digits than its factorization.

87011468544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

It can be divided in two parts, 87011 and 468544, that added together give a palindrome (555555).

The spelling of 87011468544 in words is "eighty-seven billion, eleven million, four hundred sixty-eight thousand, five hundred forty-four".