87948389880 has 384 divisors, whose sum is σ = 316566169920. Its totient is φ = 21037916160.

The previous prime is 87948389869. The next prime is 87948389891. The reversal of 87948389880 is 8898384978.

It is a happy number.

87948389880 is a `hidden beast` number, since 87 + 94 + 8 + 389 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (87948389869) and next prime (87948389891).

It is a super-3 number, since 3×87948389880³ (a number of 34 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 87948389799 and 87948389808.

It is a congruent number.

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, 58906414 + ... + 58907906.

Almost surely, 2^87948389880 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 87948389880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158283084960).

87948389880 is an abundant number, since it is smaller than the sum of its proper divisors (228617780040).

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

87948389880 is a wasteful number, since it uses less digits than its factorization.

87948389880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 72.

The spelling of 87948389880 in words is "eighty-seven billion, nine hundred forty-eight million, three hundred eighty-nine thousand, eight hundred eighty".