87835378560 has 64 divisors (see below), whose sum is σ = 279975275280. Its totient is φ = 23422767104.

The previous prime is 87835378537. The next prime is 87835378567. The reversal of 87835378560 is 6587353878.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 87835378494 and 87835378503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87835378567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22871877 + ... + 22875716.

Almost surely, 2^87835378560 is an apocalyptic number.

87835378560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87835378560 is an abundant number, since it is smaller than the sum of its proper divisors (192139896720).

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

87835378560 is a wasteful number, since it uses less digits than its factorization.

87835378560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45747615 (or 45747603 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 60.

The spelling of 87835378560 in words is "eighty-seven billion, eight hundred thirty-five million, three hundred seventy-eight thousand, five hundred sixty".