87247425024000 has 2080 divisors, whose sum is σ = 351865273833216. Its totient is φ = 21423351398400.

The previous prime is 87247425023971. The next prime is 87247425024007. The reversal of 87247425024000 is 42052474278.

87247425024000 is a `hidden beast` number, since 8 + 72 + 4 + 74 + 2 + 502 + 4 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×87247425024000² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (87247425024007) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 33136126684 + ... + 33136129316.

Almost surely, 2^{87247425024000} is an apocalyptic number.

87247425024000 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 87247425024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175932636916608).

87247425024000 is an abundant number, since it is smaller than the sum of its proper divisors (264617848809216).

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

87247425024000 is a wasteful number, since it uses less digits than its factorization.

87247425024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 45.

Adding to 87247425024000 its reverse (42052474278), we get a palindrome (87289477498278).

The spelling of 87247425024000 in words is "eighty-seven trillion, two hundred forty-seven billion, four hundred twenty-five million, twenty-four thousand".