87449207040 has 792 divisors, whose sum is σ = 342171670680. Its totient is φ = 21284093952.

The previous prime is 87449207009. The next prime is 87449207057. The reversal of 87449207040 is 4070294478.

87449207040 is a `hidden beast` number, since 87 + 449 + 20 + 70 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 136048896 + 87313158144 = 11664^2 + 295488^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 982575316 + ... + 982575404.

Almost surely, 2^87449207040 is an apocalyptic number.

87449207040 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 87449207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171085835340).

87449207040 is an abundant number, since it is smaller than the sum of its proper divisors (254722463640).

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

87449207040 is an frugal number, since it uses more digits than its factorization.

87449207040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 87449207040 in words is "eighty-seven billion, four hundred forty-nine million, two hundred seven thousand, forty".