87854453280 has 288 divisors, whose sum is σ = 339173085888. Its totient is φ = 21297945600.

The previous prime is 87854453233. The next prime is 87854453311. The reversal of 87854453280 is 8235445878.

87854453280 is a `hidden beast` number, since 8 + 78 + 544 + 5 + 3 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×87854453280² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 324970 + ... + 530390.

It is an arithmetic number, because the mean of its divisors is an integer number (1177684326).

Almost surely, 2^87854453280 is an apocalyptic number.

87854453280 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 87854453280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169586542944).

87854453280 is an abundant number, since it is smaller than the sum of its proper divisors (251318632608).

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

87854453280 is a wasteful number, since it uses less digits than its factorization.

87854453280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205462 (or 205442 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 87854453280 in words is "eighty-seven billion, eight hundred fifty-four million, four hundred fifty-three thousand, two hundred eighty".