96488007759 has 128 divisors (see below), whose sum is σ = 171239040000. Its totient is φ = 52923456000.

The previous prime is 96488007757. The next prime is 96488007769. The reversal of 96488007759 is 95770088469.

It is not a de Polignac number, because 96488007759 - 2¹ = 96488007757 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 96488007696 and 96488007705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96488007757) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 117524569 + ... + 117525389.

It is an arithmetic number, because the mean of its divisors is an integer number (1337805000).

Almost surely, 2^96488007759 is an apocalyptic number.

96488007759 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

96488007759 is a deficient number, since it is larger than the sum of its proper divisors (74751032241).

96488007759 is a wasteful number, since it uses less digits than its factorization.

96488007759 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 96488007759 in words is "ninety-six billion, four hundred eighty-eight million, seven thousand, seven hundred fifty-nine".