87563978370 has 768 divisors, whose sum is σ = 283952148480. Its totient is φ = 19203609600.

The previous prime is 87563978363. The next prime is 87563978387. The reversal of 87563978370 is 7387936578.

It is a junction number, because it is equal to n+sod(n) for n = 87563978298 and 87563978307.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1233295435 + ... + 1233295505.

It is an arithmetic number, because the mean of its divisors is an integer number (369729360).

Almost surely, 2^87563978370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87563978370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141976074240).

87563978370 is an abundant number, since it is smaller than the sum of its proper divisors (196388170110).

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

87563978370 is a wasteful number, since it uses less digits than its factorization.

87563978370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 87563978370 in words is "eighty-seven billion, five hundred sixty-three million, nine hundred seventy-eight thousand, three hundred seventy".