87741845136000 has 6144 divisors, whose sum is σ = 404825415321600. Its totient is φ = 18787811328000.

The previous prime is 87741845135999. The next prime is 87741845136013. The reversal of 87741845136000 is 63154814778.

87741845136000 is a `hidden beast` number, since 8 + 7 + 7 + 4 + 18 + 4 + 5 + 13 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1655506511974 + ... + 1655506512026.

It is an arithmetic number, because the mean of its divisors is an integer number (65889553275).

Almost surely, 2^{87741845136000} is an apocalyptic number.

87741845136000 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 87741845136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202412707660800).

87741845136000 is an abundant number, since it is smaller than the sum of its proper divisors (317083570185600).

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

87741845136000 is a wasteful number, since it uses less digits than its factorization.

87741845136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 87741845136000 in words is "eighty-seven trillion, seven hundred forty-one billion, eight hundred forty-five million, one hundred thirty-six thousand".