87263121764 has 72 divisors (see below), whose sum is σ = 193280403960. Its totient is φ = 34165684224.

The previous prime is 87263121761. The next prime is 87263121769. The reversal of 87263121764 is 46712136278.

It can be written as a sum of positive squares in 4 ways, for example, as 4894121764 + 82369000000 = 69958^2 + 287000^2 .

It is a super-2 number, since 2×87263121764² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87263121761) 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, 70622 + ... + 423690.

It is an arithmetic number, because the mean of its divisors is an integer number (2684450055).

Almost surely, 2^87263121764 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 87263121764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96640201980).

87263121764 is an abundant number, since it is smaller than the sum of its proper divisors (106017282196).

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

87263121764 is a wasteful number, since it uses less digits than its factorization.

87263121764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353197 (or 353188 counting only the distinct ones).

The product of its digits is 677376, while the sum is 47.

The spelling of 87263121764 in words is "eighty-seven billion, two hundred sixty-three million, one hundred twenty-one thousand, seven hundred sixty-four".