87261562752 has 192 divisors, whose sum is σ = 286847141760. Its totient is φ = 23013918720.

The previous prime is 87261562691. The next prime is 87261562757. The reversal of 87261562752 is 25726516278.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×87261562752² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 87261562695 and 87261562704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87261562757) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 358227 + ... + 550317.

It is an arithmetic number, because the mean of its divisors is an integer number (1493995530).

Almost surely, 2^87261562752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87261562752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143423570880).

87261562752 is an abundant number, since it is smaller than the sum of its proper divisors (199585579008).

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

87261562752 is a wasteful number, since it uses less digits than its factorization.

87261562752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192141 (or 192116 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 51.

The spelling of 87261562752 in words is "eighty-seven billion, two hundred sixty-one million, five hundred sixty-two thousand, seven hundred fifty-two".