87851463360 has 224 divisors, whose sum is σ = 283927296000. Its totient is φ = 23010324480.

The previous prime is 87851463311. The next prime is 87851463383. The reversal of 87851463360 is 6336415878.

It is a super-2 number, since 2×87851463360² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15089250 + ... + 15095070.

Almost surely, 2^87851463360 is an apocalyptic number.

87851463360 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 87851463360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141963648000).

87851463360 is an abundant number, since it is smaller than the sum of its proper divisors (196075832640).

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

87851463360 is a wasteful number, since it uses less digits than its factorization.

87851463360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6119 (or 6109 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 87851463360 in words is "eighty-seven billion, eight hundred fifty-one million, four hundred sixty-three thousand, three hundred sixty".