87290012880 has 960 divisors, whose sum is σ = 372621150720. Its totient is φ = 18536988672.

The previous prime is 87290012867. The next prime is 87290012903. The reversal of 87290012880 is 8821009278.

It is a happy number.

87290012880 is a `hidden beast` number, since 87 + 290 + 0 + 1 + 288 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 224395726 + ... + 224396114.

It is an arithmetic number, because the mean of its divisors is an integer number (388147032).

Almost surely, 2^87290012880 is an apocalyptic number.

87290012880 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 87290012880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186310575360).

87290012880 is an abundant number, since it is smaller than the sum of its proper divisors (285331137840).

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

87290012880 is a wasteful number, since it uses less digits than its factorization.

87290012880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 87290012880 in words is "eighty-seven billion, two hundred ninety million, twelve thousand, eight hundred eighty".