87752450000 has 240 divisors, whose sum is σ = 227021719680. Its totient is φ = 32760000000.

The previous prime is 87752449997. The next prime is 87752450017. The reversal of 87752450000 is 5425778.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 67449350 + ... + 67450650.

It is an arithmetic number, because the mean of its divisors is an integer number (945923832).

Almost surely, 2^87752450000 is an apocalyptic number.

87752450000 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 87752450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113510859840).

87752450000 is an abundant number, since it is smaller than the sum of its proper divisors (139269269680).

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

87752450000 is a wasteful number, since it uses less digits than its factorization.

87752450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 38.

Adding to 87752450000 its reverse (5425778), we get a palindrome (87757875778).

The spelling of 87752450000 in words is "eighty-seven billion, seven hundred fifty-two million, four hundred fifty thousand".