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96396168960 = 2834571317601
BaseRepresentation
bin101100111000110101…
…0001100111100000000
3100012211000101202110000
41121301222030330000
53034404404401320
6112141144240000
76651533626320
oct1316152147400
9305730352400
1096396168960
1137977140543
1216822a70000
139122cba940
144946595280
152792b6cc90
hex1671a8cf00

96396168960 has 1440 divisors, whose sum is σ = 450240481152. Its totient is φ = 19110297600.

The previous prime is 96396168919. The next prime is 96396168971. The reversal of 96396168960 is 6986169369.

96396168960 is a `hidden beast` number, since 9 + 6 + 3 + 9 + 616 + 8 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 160392660 + ... + 160393260.

Almost surely, 296396168960 is an apocalyptic number.

96396168960 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 96396168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225120240576).

96396168960 is an abundant number, since it is smaller than the sum of its proper divisors (353844312192).

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

96396168960 is a wasteful number, since it uses less digits than its factorization.

96396168960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 63.

It can be divided in two parts, 96396 and 168960, that added together give a triangular number (265356 = T728).

The spelling of 96396168960 in words is "ninety-six billion, three hundred ninety-six million, one hundred sixty-eight thousand, nine hundred sixty".