87411826615680 has 1280 divisors, whose sum is σ = 362132052480000. Its totient is φ = 19680102973440.

The previous prime is 87411826615627. The next prime is 87411826615697. The reversal of 87411826615680 is 8651662811478.

It is a happy number.

87411826615680 is a `hidden beast` number, since 8 + 7 + 4 + 1 + 1 + 8 + 2 + 6 + 61 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12871713085 + ... + 12871719875.

It is an arithmetic number, because the mean of its divisors is an integer number (282915666000).

Almost surely, 2^{87411826615680} is an apocalyptic number.

87411826615680 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 87411826615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181066026240000).

87411826615680 is an abundant number, since it is smaller than the sum of its proper divisors (274720225864320).

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

87411826615680 is a wasteful number, since it uses less digits than its factorization.

87411826615680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7357 (or 7336 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 87411826615680 in words is "eighty-seven trillion, four hundred eleven billion, eight hundred twenty-six million, six hundred fifteen thousand, six hundred eighty".