96748550553600 has 2448 divisors, whose sum is σ = 397232052092928. Its totient is φ = 22295347200000.

The previous prime is 96748550553559. The next prime is 96748550553623. The reversal of 96748550553600 is 635505584769.

It is a happy number.

96748550553600 is a `hidden beast` number, since 9 + 6 + 7 + 48 + 5 + 50 + 5 + 536 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 357005721465 + ... + 357005721735.

It is an arithmetic number, because the mean of its divisors is an integer number (162267995136).

Almost surely, 2^{96748550553600} is an apocalyptic number.

96748550553600 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 96748550553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198616026046464).

96748550553600 is an abundant number, since it is smaller than the sum of its proper divisors (300483501539328).

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

96748550553600 is a wasteful number, since it uses less digits than its factorization.

96748550553600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 136080000, while the sum is 63.

The spelling of 96748550553600 in words is "ninety-six trillion, seven hundred forty-eight billion, five hundred fifty million, five hundred fifty-three thousand, six hundred".