87959364365952 has 576 divisors, whose sum is σ = 274555255665600. Its totient is φ = 28014991589376.

The previous prime is 87959364365921. The next prime is 87959364365959. The reversal of 87959364365952 is 25956346395978.

87959364365952 is a `hidden beast` number, since 8 + 7 + 9 + 5 + 93 + 6 + 436 + 5 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (87959364365959) 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, 24318318448 + ... + 24318322064.

It is an arithmetic number, because the mean of its divisors is an integer number (476658429975).

Almost surely, 2^{87959364365952} 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 87959364365952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137277627832800).

87959364365952 is an abundant number, since it is smaller than the sum of its proper divisors (186595891299648).

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

87959364365952 is an equidigital number, since it uses as much as digits as its factorization.

87959364365952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4937 (or 4904 counting only the distinct ones).

The product of its digits is 13226976000, while the sum is 81.

The spelling of 87959364365952 in words is "eighty-seven trillion, nine hundred fifty-nine billion, three hundred sixty-four million, three hundred sixty-five thousand, nine hundred fifty-two".