87242496000 has 768 divisors, whose sum is σ = 331164288000. Its totient is φ = 20185088000.

The previous prime is 87242495983. The next prime is 87242496017. The reversal of 87242496000 is 69424278.

It is an interprime number because it is at equal distance from previous prime (87242495983) and next prime (87242496017).

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×87242496000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 194303776 + ... + 194304224.

It is an arithmetic number, because the mean of its divisors is an integer number (431203500).

Almost surely, 2^87242496000 is an apocalyptic number.

87242496000 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 87242496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165582144000).

87242496000 is an abundant number, since it is smaller than the sum of its proper divisors (243921792000).

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

87242496000 is a wasteful number, since it uses less digits than its factorization.

87242496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 87242496000 in words is "eighty-seven billion, two hundred forty-two million, four hundred ninety-six thousand".