87648120300 has 288 divisors, whose sum is σ = 278144697600. Its totient is φ = 21178967040.

The previous prime is 87648120269. The next prime is 87648120319. The reversal of 87648120300 is 302184678.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 133001371 + ... + 133002029.

It is an arithmetic number, because the mean of its divisors is an integer number (965780200).

Almost surely, 2^87648120300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87648120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139072348800).

87648120300 is an abundant number, since it is smaller than the sum of its proper divisors (190496577300).

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

87648120300 is a wasteful number, since it uses less digits than its factorization.

87648120300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 87648120300 in words is "eighty-seven billion, six hundred forty-eight million, one hundred twenty thousand, three hundred".