87339479040 has 832 divisors, whose sum is σ = 344792609280. Its totient is φ = 20797194240.

The previous prime is 87339479039. The next prime is 87339479041. The reversal of 87339479040 is 4097493378.

It is an interprime number because it is at equal distance from previous prime (87339479039) and next prime (87339479041).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87339479041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 504852394 + ... + 504852566.

Almost surely, 2^87339479040 is an apocalyptic number.

87339479040 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 87339479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172396304640).

87339479040 is an abundant number, since it is smaller than the sum of its proper divisors (257453130240).

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

87339479040 is a wasteful number, since it uses less digits than its factorization.

87339479040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 87339479040 in words is "eighty-seven billion, three hundred thirty-nine million, four hundred seventy-nine thousand, forty".