87451485408 has 864 divisors, whose sum is σ = 332030409984. Its totient is φ = 22455595008.

The previous prime is 87451485389. The next prime is 87451485409. The reversal of 87451485408 is 80458415478.

87451485408 is a `hidden beast` number, since 8 + 7 + 4 + 51 + 48 + 540 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87451485409) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 148980091 + ... + 148980677.

It is an arithmetic number, because the mean of its divisors is an integer number (384294456).

Almost surely, 2^87451485408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87451485408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166015204992).

87451485408 is an abundant number, since it is smaller than the sum of its proper divisors (244578924576).

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

87451485408 is a wasteful number, since it uses less digits than its factorization.

87451485408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 5734400, while the sum is 54.

The spelling of 87451485408 in words is "eighty-seven billion, four hundred fifty-one million, four hundred eighty-five thousand, four hundred eight".