87211949760 has 504 divisors, whose sum is σ = 330436819440. Its totient is φ = 21096751104.

The previous prime is 87211949743. The next prime is 87211949767. The reversal of 87211949760 is 6794911278.

87211949760 is a `hidden beast` number, since 87 + 2 + 1 + 19 + 497 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 87211949697 and 87211949706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87211949767) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28714962 + ... + 28717998.

It is an arithmetic number, because the mean of its divisors is an integer number (655628610).

Almost surely, 2^87211949760 is an apocalyptic number.

87211949760 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 87211949760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165218409720).

87211949760 is an abundant number, since it is smaller than the sum of its proper divisors (243224869680).

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

87211949760 is a wasteful number, since it uses less digits than its factorization.

87211949760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3145 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 87211949760 in words is "eighty-seven billion, two hundred eleven million, nine hundred forty-nine thousand, seven hundred sixty".