87532979040 has 288 divisors, whose sum is σ = 322733043360. Its totient is φ = 21476302848.

The previous prime is 87532978927. The next prime is 87532979041. The reversal of 87532979040 is 4097923578.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87532979041) 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, 5851891 + ... + 5866829.

It is an arithmetic number, because the mean of its divisors is an integer number (1120600845).

Almost surely, 2^87532979040 is an apocalyptic number.

87532979040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87532979040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161366521680).

87532979040 is an abundant number, since it is smaller than the sum of its proper divisors (235200064320).

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

87532979040 is a wasteful number, since it uses less digits than its factorization.

87532979040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15286 (or 15275 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 87532979040 in words is "eighty-seven billion, five hundred thirty-two million, nine hundred seventy-nine thousand, forty".