87889950720 has 1728 divisors, whose sum is σ = 392797641600. Its totient is φ = 18632540160.

The previous prime is 87889950677. The next prime is 87889950769. The reversal of 87889950720 is 2705998878.

It is a tau number, because it is divible by the number of its divisors (1728).

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, 4625786871 + ... + 4625786889.

It is an arithmetic number, because the mean of its divisors is an integer number (227313450).

Almost surely, 2^87889950720 is an apocalyptic number.

87889950720 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 87889950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196398820800).

87889950720 is an abundant number, since it is smaller than the sum of its proper divisors (304907690880).

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

87889950720 is a wasteful number, since it uses less digits than its factorization.

87889950720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 87889950720 in words is "eighty-seven billion, eight hundred eighty-nine million, nine hundred fifty thousand, seven hundred twenty".