96948826128 has 1200 divisors, whose sum is σ = 380624352768. Its totient is φ = 23710579200.

The previous prime is 96948826127. The next prime is 96948826153. The reversal of 96948826128 is 82162884969.

96948826128 is a `hidden beast` number, since 9 + 6 + 9 + 4 + 8 + 8 + 2 + 612 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (96948826123) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2620238526 + ... + 2620238562.

Almost surely, 2^96948826128 is an apocalyptic number.

96948826128 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96948826128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190312176384).

96948826128 is an abundant number, since it is smaller than the sum of its proper divisors (283675526640).

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

96948826128 is a wasteful number, since it uses less digits than its factorization.

96948826128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 91 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 63.

The spelling of 96948826128 in words is "ninety-six billion, nine hundred forty-eight million, eight hundred twenty-six thousand, one hundred twenty-eight".