153283287969792 has 1040 divisors, whose sum is σ = 485006748827040. Its totient is φ = 48362621239296.

The previous prime is 153283287969703. The next prime is 153283287969793. The reversal of 153283287969792 is 297969782382351.

153283287969792 is a `hidden beast` number, since 1 + 5 + 3 + 2 + 83 + 287 + 96 + 97 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153283287969793) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 123915349398 + ... + 123915350634.

Almost surely, 2^{153283287969792} is an apocalyptic number.

153283287969792 is a gapful number since it is divisible by the number (12) 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 153283287969792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242503374413520).

153283287969792 is an abundant number, since it is smaller than the sum of its proper divisors (331723460857248).

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

153283287969792 is an frugal number, since it uses more digits than its factorization.

153283287969792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1324 counting only the distinct ones).

The product of its digits is 4938071040, while the sum is 81.

The spelling of 153283287969792 in words is "one hundred fifty-three trillion, two hundred eighty-three billion, two hundred eighty-seven million, nine hundred sixty-nine thousand, seven hundred ninety-two".