87060491053200 has 1200 divisors, whose sum is σ = 372411287041024. Its totient is φ = 19058938675200.

The previous prime is 87060491053187. The next prime is 87060491053229. The reversal of 87060491053200 is 235019406078.

87060491053200 is a `hidden beast` number, since 8 + 7 + 0 + 60 + 49 + 10 + 532 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 681923772 + ... + 682051428.

It is a 1-persistent number, because it is pandigital, but 2⋅87060491053200 = 174120982106400 is not.

Almost surely, 2^{87060491053200} is an apocalyptic number.

87060491053200 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 87060491053200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186205643520512).

87060491053200 is an abundant number, since it is smaller than the sum of its proper divisors (285350795987824).

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

87060491053200 is a wasteful number, since it uses less digits than its factorization.

87060491053200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127822 (or 127802 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 87060491053200 in words is "eighty-seven trillion, sixty billion, four hundred ninety-one million, fifty-three thousand, two hundred".