87473232000 has 1920 divisors, whose sum is σ = 417170632320. Its totient is φ = 17385984000.

The previous prime is 87473231941. The next prime is 87473232001. The reversal of 87473232000 is 23237478.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87473232001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3803183989 + ... + 3803184011.

It is an arithmetic number, because the mean of its divisors is an integer number (217276371).

Almost surely, 2^87473232000 is an apocalyptic number.

87473232000 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 87473232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208585316160).

87473232000 is an abundant number, since it is smaller than the sum of its proper divisors (329697400320).

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

87473232000 is a wasteful number, since it uses less digits than its factorization.

87473232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

Adding to 87473232000 its reverse (23237478), we get a palindrome (87496469478).

The spelling of 87473232000 in words is "eighty-seven billion, four hundred seventy-three million, two hundred thirty-two thousand".