87517148544 has 480 divisors, whose sum is σ = 312801572160. Its totient is φ = 24193935360.

The previous prime is 87517148539. The next prime is 87517148549. The reversal of 87517148544 is 44584171578.

It is a happy number.

87517148544 is a `hidden beast` number, since 8 + 7 + 51 + 7 + 1 + 48 + 544 = 666.

It is an interprime number because it is at equal distance from previous prime (87517148539) and next prime (87517148549).

It is a super-2 number, since 2×87517148544² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (5017600) is a multiple of the sum of its prime divisors (5600).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87517148549) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15746214 + ... + 15751770.

It is an arithmetic number, because the mean of its divisors is an integer number (651669942).

Almost surely, 2^87517148544 is an apocalyptic number.

87517148544 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 87517148544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156400786080).

87517148544 is an abundant number, since it is smaller than the sum of its proper divisors (225284423616).

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

87517148544 is a wasteful number, since it uses less digits than its factorization.

87517148544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5628 (or 5600 counting only the distinct ones).

The product of its digits is 5017600, while the sum is 54.

The spelling of 87517148544 in words is "eighty-seven billion, five hundred seventeen million, one hundred forty-eight thousand, five hundred forty-four".