87648338937600 has 1296 divisors, whose sum is σ = 379859596596480. Its totient is φ = 18834392678400.

The previous prime is 87648338937569. The next prime is 87648338937637. The reversal of 87648338937600 is 673983384678.

87648338937600 is a `hidden beast` number, since 8 + 7 + 6 + 4 + 8 + 3 + 3 + 8 + 9 + 3 + 7 + 600 = 666.

It is a super-3 number, since 3×87648338937600³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1003521132 + ... + 1003608468.

Almost surely, 2^{87648338937600} is an apocalyptic number.

87648338937600 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 87648338937600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189929798298240).

87648338937600 is an abundant number, since it is smaller than the sum of its proper divisors (292211257658880).

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

87648338937600 is a wasteful number, since it uses less digits than its factorization.

87648338937600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87526 (or 87504 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 72.

The spelling of 87648338937600 in words is "eighty-seven trillion, six hundred forty-eight billion, three hundred thirty-eight million, nine hundred thirty-seven thousand, six hundred".