88536018487680 has 1280 divisors, whose sum is σ = 350035391692800. Its totient is φ = 21225365618688.

The previous prime is 88536018487643. The next prime is 88536018487681. The reversal of 88536018487680 is 8678481063588.

88536018487680 is a `hidden beast` number, since 8 + 8 + 5 + 3 + 60 + 1 + 8 + 487 + 6 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 88536018487599 and 88536018487608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88536018487681) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2877052774 + ... + 2877083546.

It is an arithmetic number, because the mean of its divisors is an integer number (273465149760).

Almost surely, 2^{88536018487680} is an apocalyptic number.

88536018487680 is a gapful number since it is divisible by the number (80) 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 88536018487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175017695846400).

88536018487680 is an abundant number, since it is smaller than the sum of its proper divisors (261499373205120).

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

88536018487680 is a wasteful number, since it uses less digits than its factorization.

88536018487680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30973 (or 30952 counting only the distinct ones).

The product of its (nonzero) digits is 495452160, while the sum is 72.

The spelling of 88536018487680 in words is "eighty-eight trillion, five hundred thirty-six billion, eighteen million, four hundred eighty-seven thousand, six hundred eighty".