87628950000 has 720 divisors, whose sum is σ = 332579651040. Its totient is φ = 21461760000.

The previous prime is 87628949971. The next prime is 87628950007. The reversal of 87628950000 is 5982678.

87628950000 is a `hidden beast` number, since 8 + 7 + 62 + 89 + 500 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87628950007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 316349862 + ... + 316350138.

It is an arithmetic number, because the mean of its divisors is an integer number (461916182).

Almost surely, 2^87628950000 is an apocalyptic number.

87628950000 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 87628950000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166289825520).

87628950000 is an abundant number, since it is smaller than the sum of its proper divisors (244950701040).

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

87628950000 is a wasteful number, since it uses less digits than its factorization.

87628950000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 87628950000 in words is "eighty-seven billion, six hundred twenty-eight million, nine hundred fifty thousand".