87282973440 has 576 divisors, whose sum is σ = 336331860480. Its totient is φ = 21306654720.

The previous prime is 87282973439. The next prime is 87282973511. The reversal of 87282973440 is 4437928278.

It is a happy number.

87282973440 is a `hidden beast` number, since 8 + 7 + 2 + 8 + 297 + 344 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 58854939 + ... + 58856421.

It is an arithmetic number, because the mean of its divisors is an integer number (583909480).

Almost surely, 2^87282973440 is an apocalyptic number.

87282973440 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 87282973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168165930240).

87282973440 is an abundant number, since it is smaller than the sum of its proper divisors (249048887040).

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

87282973440 is a wasteful number, since it uses less digits than its factorization.

87282973440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 87282973440 in words is "eighty-seven billion, two hundred eighty-two million, nine hundred seventy-three thousand, four hundred forty".