87642504923952 has 240 divisors, whose sum is σ = 263834563951616. Its totient is φ = 25006974220800.

The previous prime is 87642504923927. The next prime is 87642504923957. The reversal of 87642504923952 is 25932940524678.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (87642504923957) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83763 + ... + 13239789.

Almost surely, 2^{87642504923952} 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 87642504923952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131917281975808).

87642504923952 is an abundant number, since it is smaller than the sum of its proper divisors (176192059027664).

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

87642504923952 is a wasteful number, since it uses less digits than its factorization.

87642504923952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13156128 (or 13156111 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 66.

The spelling of 87642504923952 in words is "eighty-seven trillion, six hundred forty-two billion, five hundred four million, nine hundred twenty-three thousand, nine hundred fifty-two".