87703968000 has 864 divisors, whose sum is σ = 334325077632. Its totient is φ = 20207616000.

The previous prime is 87703967993. The next prime is 87703968017. The reversal of 87703968000 is 86930778.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 558623922 + ... + 558624078.

Almost surely, 2^87703968000 is an apocalyptic number.

87703968000 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 87703968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167162538816).

87703968000 is an abundant number, since it is smaller than the sum of its proper divisors (246621109632).

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

87703968000 is a wasteful number, since it uses less digits than its factorization.

87703968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 87703968000 in words is "eighty-seven billion, seven hundred three million, nine hundred sixty-eight thousand".