87356269000 has 768 divisors, whose sum is σ = 283652928000. Its totient is φ = 24950016000.

The previous prime is 87356268997. The next prime is 87356269001. The reversal of 87356269000 is 96265378.

It is a super-2 number, since 2×87356269000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87356269001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 637636932 + ... + 637637068.

It is an arithmetic number, because the mean of its divisors is an integer number (369339750).

Almost surely, 2^87356269000 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 87356269000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141826464000).

87356269000 is an abundant number, since it is smaller than the sum of its proper divisors (196296659000).

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

87356269000 is a wasteful number, since it uses less digits than its factorization.

87356269000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 87356269000 in words is "eighty-seven billion, three hundred fifty-six million, two hundred sixty-nine thousand".