87965771040 has 768 divisors, whose sum is σ = 375580800000. Its totient is φ = 18770558976.

The previous prime is 87965771039. The next prime is 87965771059. The reversal of 87965771040 is 4017756978.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70428336 + ... + 70429584.

It is an arithmetic number, because the mean of its divisors is an integer number (489037500).

Almost surely, 2^87965771040 is an apocalyptic number.

87965771040 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 87965771040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187790400000).

87965771040 is an abundant number, since it is smaller than the sum of its proper divisors (287615028960).

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

87965771040 is a wasteful number, since it uses less digits than its factorization.

87965771040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 87965771040 in words is "eighty-seven billion, nine hundred sixty-five million, seven hundred seventy-one thousand, forty".