87345815040 has 1440 divisors, whose sum is σ = 374412598560. Its totient is φ = 18685624320.

The previous prime is 87345814999. The next prime is 87345815041. The reversal of 87345815040 is 4051854378.

87345815040 is a `hidden beast` number, since 8 + 7 + 3 + 458 + 150 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87345815041) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 900472272 + ... + 900472368.

It is an arithmetic number, because the mean of its divisors is an integer number (260008749).

Almost surely, 2^87345815040 is an apocalyptic number.

87345815040 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 87345815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187206299280).

87345815040 is an abundant number, since it is smaller than the sum of its proper divisors (287066783520).

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

87345815040 is a wasteful number, since it uses less digits than its factorization.

87345815040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 87345815040 in words is "eighty-seven billion, three hundred forty-five million, eight hundred fifteen thousand, forty".