87577712291520 has 896 divisors, whose sum is σ = 339960869683200. Its totient is φ = 21047330304000.

The previous prime is 87577712291477. The next prime is 87577712291521. The reversal of 87577712291520 is 2519221777578.

87577712291520 is a `hidden beast` number, since 8 + 7 + 5 + 7 + 7 + 7 + 12 + 2 + 91 + 520 = 666.

It is not an unprimeable number, because it can be changed into a prime (87577712291521) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23548724221 + ... + 23548727939.

Almost surely, 2^{87577712291520} is an apocalyptic number.

87577712291520 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 87577712291520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169980434841600).

87577712291520 is an abundant number, since it is smaller than the sum of its proper divisors (252383157391680).

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

87577712291520 is a wasteful number, since it uses less digits than its factorization.

87577712291520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5834 (or 5818 counting only the distinct ones).

The product of its (nonzero) digits is 34574400, while the sum is 63.

The spelling of 87577712291520 in words is "eighty-seven trillion, five hundred seventy-seven billion, seven hundred twelve million, two hundred ninety-one thousand, five hundred twenty".