153258249811968 has 1152 divisors, whose sum is σ = 519766520232960. Its totient is φ = 42606408499200.

The previous prime is 153258249811943. The next prime is 153258249811973. The reversal of 153258249811968 is 869118942852351.

153258249811968 is a `hidden beast` number, since 1 + 5 + 32 + 5 + 8 + 2 + 498 + 11 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×153258249811968² (a number of 29 digits) contains 22 as substring.

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 = 153258249811896 and 153258249811905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 280179615471 + ... + 280179616017.

It is an arithmetic number, because the mean of its divisors is an integer number (451186215480).

Almost surely, 2^{153258249811968} is an apocalyptic number.

153258249811968 is a gapful number since it is divisible by the number (18) 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 153258249811968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259883260116480).

153258249811968 is an abundant number, since it is smaller than the sum of its proper divisors (366508270420992).

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

153258249811968 is a wasteful number, since it uses less digits than its factorization.

153258249811968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 980 counting only the distinct ones).

The product of its digits is 298598400, while the sum is 72.

The spelling of 153258249811968 in words is "one hundred fifty-three trillion, two hundred fifty-eight billion, two hundred forty-nine million, eight hundred eleven thousand, nine hundred sixty-eight".