87820146655605 has 96 divisors (see below), whose sum is σ = 188040975682560. Its totient is φ = 36921425287680.

The previous prime is 87820146655589. The next prime is 87820146655667. The reversal of 87820146655605 is 50655664102878.

87820146655605 is a `hidden beast` number, since 8 + 7 + 8 + 2 + 0 + 1 + 4 + 6 + 65 + 560 + 5 = 666.

It is not a de Polignac number, because 87820146655605 - 2⁴ = 87820146655589 is a prime.

It is a super-2 number, since 2×87820146655605² (a number of 29 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 38457970 + ... + 40677459.

It is an arithmetic number, because the mean of its divisors is an integer number (1958760163360).

Almost surely, 2^{87820146655605} is an apocalyptic number.

It is an amenable number.

87820146655605 is an abundant number, since it is smaller than the sum of its proper divisors (100220829026955).

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

87820146655605 is a wasteful number, since it uses less digits than its factorization.

87820146655605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79135731 (or 79135728 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 87820146655605 in words is "eighty-seven trillion, eight hundred twenty billion, one hundred forty-six million, six hundred fifty-five thousand, six hundred five".