88417632460959 has 48 divisors (see below), whose sum is σ = 135052755172608. Its totient is φ = 55651043520000.

The previous prime is 88417632460951. The next prime is 88417632460967. The reversal of 88417632460959 is 95906423671488.

88417632460959 is a `hidden beast` number, since 8 + 8 + 4 + 1 + 7 + 6 + 3 + 2 + 4 + 609 + 5 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (88417632460951) and next prime (88417632460967).

It is not a de Polignac number, because 88417632460959 - 2³ = 88417632460951 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88417632460951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 857198529 + ... + 857301669.

It is an arithmetic number, because the mean of its divisors is an integer number (2813599066096).

It is a 1-persistent number, because it is pandigital, but 2⋅88417632460959 = 176835264921918 is not.

Almost surely, 2^{88417632460959} is an apocalyptic number.

88417632460959 is a deficient number, since it is larger than the sum of its proper divisors (46635122711649).

88417632460959 is a wasteful number, since it uses less digits than its factorization.

88417632460959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178160 (or 178157 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 88417632460959 in words is "eighty-eight trillion, four hundred seventeen billion, six hundred thirty-two million, four hundred sixty thousand, nine hundred fifty-nine".