87427975053510 has 576 divisors, whose sum is σ = 291151793866752. Its totient is φ = 18405919090944.

The previous prime is 87427975053509. The next prime is 87427975053511. The reversal of 87427975053510 is 1535057972478.

It is a happy number.

87427975053510 is a `hidden beast` number, since 8 + 7 + 4 + 2 + 7 + 97 + 5 + 0 + 535 + 1 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (87427975053509) and next prime (87427975053511).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87427975053511) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2764330317 + ... + 2764361943.

It is an arithmetic number, because the mean of its divisors is an integer number (505471864352).

Almost surely, 2^{87427975053510} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87427975053510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145575896933376).

87427975053510 is an abundant number, since it is smaller than the sum of its proper divisors (203723818813242).

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

87427975053510 is a wasteful number, since it uses less digits than its factorization.

87427975053510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32141 (or 32120 counting only the distinct ones).

The product of its (nonzero) digits is 74088000, while the sum is 63.

The spelling of 87427975053510 in words is "eighty-seven trillion, four hundred twenty-seven billion, nine hundred seventy-five million, fifty-three thousand, five hundred ten".