87189452697600 has 624 divisors, whose sum is σ = 349419834925440. Its totient is φ = 21136829644800.

The previous prime is 87189452697577. The next prime is 87189452697617. The reversal of 87189452697600 is 679625498178.

87189452697600 is a `hidden beast` number, since 8 + 7 + 1 + 8 + 9 + 4 + 5 + 2 + 6 + 9 + 7 + 600 = 666.

87189452697600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 28979367 + ... + 31846233.

Almost surely, 2^{87189452697600} is an apocalyptic number.

87189452697600 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 87189452697600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174709917462720).

87189452697600 is an abundant number, since it is smaller than the sum of its proper divisors (262230382227840).

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

87189452697600 is a wasteful number, since it uses less digits than its factorization.

87189452697600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866921 (or 2866888 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 87189452697600 in words is "eighty-seven trillion, one hundred eighty-nine billion, four hundred fifty-two million, six hundred ninety-seven thousand, six hundred".