1233525992160 has 2304 divisors, whose sum is σ = 5696417664000. Its totient is φ = 220228485120.

The previous prime is 1233525992159. The next prime is 1233525992161. The reversal of 1233525992160 is 612995253321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1233525992159) and next prime (1233525992161).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1233525992161) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2423429986 + ... + 2423430494.

It is an arithmetic number, because the mean of its divisors is an integer number (2472403500).

Almost surely, 2^{1233525992160} is an apocalyptic number.

1233525992160 is a gapful number since it is divisible by the number (10) 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 1233525992160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2848208832000).

1233525992160 is an abundant number, since it is smaller than the sum of its proper divisors (4462891671840).

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

1233525992160 is a wasteful number, since it uses less digits than its factorization.

1233525992160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 48.

The spelling of 1233525992160 in words is "one trillion, two hundred thirty-three billion, five hundred twenty-five million, nine hundred ninety-two thousand, one hundred sixty".