87141011760 has 1200 divisors, whose sum is σ = 364791651840. Its totient is φ = 19058042880.

The previous prime is 87141011731. The next prime is 87141011767. The reversal of 87141011760 is 6711014178.

87141011760 is a `hidden beast` number, since 8 + 71 + 410 + 1 + 176 + 0 = 666.

It is a super-3 number, since 3×87141011760³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (87141011767) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 1854064057 + ... + 1854064103.

Almost surely, 2^87141011760 is an apocalyptic number.

87141011760 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 87141011760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182395825920).

87141011760 is an abundant number, since it is smaller than the sum of its proper divisors (277650640080).

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

87141011760 is a wasteful number, since it uses less digits than its factorization.

87141011760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 36.

The spelling of 87141011760 in words is "eighty-seven billion, one hundred forty-one million, eleven thousand, seven hundred sixty".