87018454560 has 192 divisors, whose sum is σ = 280604362752. Its totient is φ = 22657330176.

The previous prime is 87018454553. The next prime is 87018454609. The reversal of 87018454560 is 6545481078.

It is a super-2 number, since 2×87018454560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 9989727 + ... + 9998433.

It is an arithmetic number, because the mean of its divisors is an integer number (1461481056).

Almost surely, 2^87018454560 is an apocalyptic number.

87018454560 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 87018454560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140302181376).

87018454560 is an abundant number, since it is smaller than the sum of its proper divisors (193585908192).

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

87018454560 is a wasteful number, since it uses less digits than its factorization.

87018454560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9215 (or 9207 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 87018454560 in words is "eighty-seven billion, eighteen million, four hundred fifty-four thousand, five hundred sixty".