96455669460480 has 1920 divisors, whose sum is σ = 403873360450560. Its totient is φ = 21802938531840.

The previous prime is 96455669460439. The next prime is 96455669460481. The reversal of 96455669460480 is 8406496655469.

96455669460480 is a `hidden beast` number, since 9 + 6 + 4 + 5 + 5 + 6 + 6 + 9 + 4 + 604 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 96455669460399 and 96455669460408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96455669460481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12679852837 + ... + 12679860443.

It is an arithmetic number, because the mean of its divisors is an integer number (210350708568).

Almost surely, 2^{96455669460480} is an apocalyptic number.

96455669460480 is a gapful number since it is divisible by the number (90) 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 96455669460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201936680225280).

96455669460480 is an abundant number, since it is smaller than the sum of its proper divisors (307417690990080).

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

96455669460480 is a wasteful number, since it uses less digits than its factorization.

96455669460480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7782 (or 7754 counting only the distinct ones).

The product of its (nonzero) digits is 1343692800, while the sum is 72.

The spelling of 96455669460480 in words is "ninety-six trillion, four hundred fifty-five billion, six hundred sixty-nine million, four hundred sixty thousand, four hundred eighty".