87471384000 has 1344 divisors, whose sum is σ = 391918765056. Its totient is φ = 16727040000.

The previous prime is 87471383999. The next prime is 87471384023. The reversal of 87471384000 is 48317478.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 264263835 + ... + 264264165.

It is an arithmetic number, because the mean of its divisors is an integer number (291606224).

Almost surely, 2^87471384000 is an apocalyptic number.

87471384000 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 87471384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195959382528).

87471384000 is an abundant number, since it is smaller than the sum of its proper divisors (304447381056).

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

87471384000 is a wasteful number, since it uses less digits than its factorization.

87471384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The spelling of 87471384000 in words is "eighty-seven billion, four hundred seventy-one million, three hundred eighty-four thousand".