87574556160000 has 7020 divisors, whose sum is σ = 437207691872952. Its totient is φ = 17390370816000.

The previous prime is 87574556159989. The next prime is 87574556160001. The reversal of 87574556160000 is 6165547578.

It is a happy number.

87574556160000 is a `hidden beast` number, since 8 + 7 + 5 + 74 + 5 + 561 + 6 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7020).

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

It is not an unprimeable number, because it can be changed into a prime (87574556160001) 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 539 ways as a sum of consecutive naturals, for example, 5151444479992 + ... + 5151444480008.

Almost surely, 2^{87574556160000} is an apocalyptic number.

87574556160000 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 87574556160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218603845936476).

87574556160000 is an abundant number, since it is smaller than the sum of its proper divisors (349633135712952).

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

87574556160000 is an equidigital number, since it uses as much as digits as its factorization.

87574556160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 87574556160000 in words is "eighty-seven trillion, five hundred seventy-four billion, five hundred fifty-six million, one hundred sixty thousand".