87635539440 has 360 divisors, whose sum is σ = 308770901088. Its totient is φ = 23128312320.

The previous prime is 87635539391. The next prime is 87635539457. The reversal of 87635539440 is 4493553678.

87635539440 is a `hidden beast` number, since 8 + 7 + 63 + 5 + 539 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54061830 + ... + 54063450.

Almost surely, 2^87635539440 is an apocalyptic number.

87635539440 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 87635539440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154385450544).

87635539440 is an abundant number, since it is smaller than the sum of its proper divisors (221135361648).

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

87635539440 is a wasteful number, since it uses less digits than its factorization.

87635539440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 87635539440 in words is "eighty-seven billion, six hundred thirty-five million, five hundred thirty-nine thousand, four hundred forty".