87180287040 has 1680 divisors, whose sum is σ = 411430402944. Its totient is φ = 17161943040.

The previous prime is 87180287039. The next prime is 87180287041. The reversal of 87180287040 is 4078208178.

It is an interprime number because it is at equal distance from previous prime (87180287039) and next prime (87180287041).

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (87180287041) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4588436151 + ... + 4588436169.

Almost surely, 2^87180287040 is an apocalyptic number.

87180287040 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 87180287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205715201472).

87180287040 is an abundant number, since it is smaller than the sum of its proper divisors (324250115904).

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

87180287040 is a wasteful number, since it uses less digits than its factorization.

87180287040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 87180287040 in words is "eighty-seven billion, one hundred eighty million, two hundred eighty-seven thousand, forty".