87035737950 has 288 divisors, whose sum is σ = 287994424320. Its totient is φ = 19251691200.

The previous prime is 87035737949. The next prime is 87035737951. The reversal of 87035737950 is 5973753078.

It is an interprime number because it is at equal distance from previous prime (87035737949) and next prime (87035737951).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87035737951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2029429 + ... + 2071871.

It is an arithmetic number, because the mean of its divisors is an integer number (999980640).

Almost surely, 2^87035737950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87035737950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143997212160).

87035737950 is an abundant number, since it is smaller than the sum of its proper divisors (200958686370).

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

87035737950 is a wasteful number, since it uses less digits than its factorization.

87035737950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42509 (or 42491 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 54.

The spelling of 87035737950 in words is "eighty-seven billion, thirty-five million, seven hundred thirty-seven thousand, nine hundred fifty".