153996705080064 has 6912 divisors, whose sum is σ = 685474165555200. Its totient is φ = 33108590592000.

The previous prime is 153996705080039. The next prime is 153996705080093. The reversal of 153996705080064 is 460080507699351.

153996705080064 is a `hidden beast` number, since 1 + 5 + 3 + 9 + 9 + 67 + 0 + 508 + 0 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a super-4 number, since 4×153996705080064⁴ (a number of 58 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 153996705079983 and 153996705080010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 2168967677149 + ... + 2168967677219.

It is an arithmetic number, because the mean of its divisors is an integer number (99171609600).

Almost surely, 2^{153996705080064} is an apocalyptic number.

153996705080064 is a gapful number since it is divisible by the number (14) 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 153996705080064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342737082777600).

153996705080064 is an abundant number, since it is smaller than the sum of its proper divisors (531477460475136).

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

153996705080064 is a wasteful number, since it uses less digits than its factorization.

153996705080064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 153996705080064 in words is "one hundred fifty-three trillion, nine hundred ninety-six billion, seven hundred five million, eighty thousand, sixty-four".