87435751949 has 24 divisors (see below), whose sum is σ = 109595242008. Its totient is φ = 69141824640.

The previous prime is 87435751927. The next prime is 87435751951. The reversal of 87435751949 is 94915753478.

It can be written as a sum of positive squares in 4 ways, for example, as 10494978025 + 76940773924 = 102445^2 + 277382^2 .

It is a de Polignac number, because none of the positive numbers 2^k-87435751949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 87435751891 and 87435751900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87435751969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1148579 + ... + 1222335.

It is an arithmetic number, because the mean of its divisors is an integer number (4566468417).

Almost surely, 2^87435751949 is an apocalyptic number.

It is an amenable number.

87435751949 is a deficient number, since it is larger than the sum of its proper divisors (22159490059).

87435751949 is a wasteful number, since it uses less digits than its factorization.

87435751949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75645 (or 75638 counting only the distinct ones).

The product of its digits is 38102400, while the sum is 62.

The spelling of 87435751949 in words is "eighty-seven billion, four hundred thirty-five million, seven hundred fifty-one thousand, nine hundred forty-nine".