87910634880 has 896 divisors, whose sum is σ = 340344460800. Its totient is φ = 21633454080.

The previous prime is 87910634879. The next prime is 87910634881. The reversal of 87910634880 is 8843601978.

It is an interprime number because it is at equal distance from previous prime (87910634879) and next prime (87910634881).

It is a super-2 number, since 2×87910634880² (a number of 23 digits) contains 22 as substring.

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 (87910634881) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 416637975 + ... + 416638185.

Almost surely, 2^87910634880 is an apocalyptic number.

87910634880 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 87910634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170172230400).

87910634880 is an abundant number, since it is smaller than the sum of its proper divisors (252433825920).

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

87910634880 is a wasteful number, since it uses less digits than its factorization.

87910634880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 87910634880 in words is "eighty-seven billion, nine hundred ten million, six hundred thirty-four thousand, eight hundred eighty".