87812424000 has 1008 divisors, whose sum is σ = 374342192640. Its totient is φ = 19987430400.

The previous prime is 87812423989. The next prime is 87812424023. The reversal of 87812424000 is 42421878.

87812424000 is a `hidden beast` number, since 8 + 7 + 8 + 1 + 242 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×87812424000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 367415881 + ... + 367416119.

Almost surely, 2^87812424000 is an apocalyptic number.

87812424000 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 87812424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187171096320).

87812424000 is an abundant number, since it is smaller than the sum of its proper divisors (286529768640).

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

87812424000 is an frugal number, since it uses more digits than its factorization.

87812424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

Adding to 87812424000 its reverse (42421878), we get a palindrome (87854845878).

The spelling of 87812424000 in words is "eighty-seven billion, eight hundred twelve million, four hundred twenty-four thousand".