87248170859520 has 352 divisors, whose sum is σ = 308094555605760. Its totient is φ = 20896236175360.

The previous prime is 87248170859497. The next prime is 87248170859567. The reversal of 87248170859520 is 2595807184278.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×87248170859520² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10912936 + ... + 17134424.

It is an arithmetic number, because the mean of its divisors is an integer number (875268623880).

Almost surely, 2^{87248170859520} is an apocalyptic number.

87248170859520 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 87248170859520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154047277802880).

87248170859520 is an abundant number, since it is smaller than the sum of its proper divisors (220846384746240).

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

87248170859520 is a wasteful number, since it uses less digits than its factorization.

87248170859520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6221611 (or 6221593 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 66.

The spelling of 87248170859520 in words is "eighty-seven trillion, two hundred forty-eight billion, one hundred seventy million, eight hundred fifty-nine thousand, five hundred twenty".