87414680304560 has 120 divisors (see below), whose sum is σ = 236490459624000. Its totient is φ = 29961946140672.

The previous prime is 87414680304527. The next prime is 87414680304583. The reversal of 87414680304560 is 6540308641478.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 87414680304496 and 87414680304505.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10082816 + ... + 16628064.

It is an arithmetic number, because the mean of its divisors is an integer number (1970753830200).

Almost surely, 2^{87414680304560} is an apocalyptic number.

87414680304560 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 87414680304560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118245229812000).

87414680304560 is an abundant number, since it is smaller than the sum of its proper divisors (149075779319440).

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

87414680304560 is a wasteful number, since it uses less digits than its factorization.

87414680304560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6548683 (or 6548670 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 56.

The spelling of 87414680304560 in words is "eighty-seven trillion, four hundred fourteen billion, six hundred eighty million, three hundred four thousand, five hundred sixty".