1453672725120 has 1024 divisors, whose sum is σ = 6575617843200. Its totient is φ = 294683443200.

The previous prime is 1453672725091. The next prime is 1453672725133. The reversal of 1453672725120 is 215272763541.

1453672725120 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 67 + 2 + 72 + 512 + 0 = 666.

It is a super-2 number, since 2×1453672725120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 54539637 + ... + 54566283.

It is an arithmetic number, because the mean of its divisors is an integer number (6421501800).

Almost surely, 2^{1453672725120} is an apocalyptic number.

1453672725120 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 1453672725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3287808921600).

1453672725120 is an abundant number, since it is smaller than the sum of its proper divisors (5121945118080).

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

1453672725120 is a wasteful number, since it uses less digits than its factorization.

1453672725120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26734 (or 26716 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 1453672725120 in words is "one trillion, four hundred fifty-three billion, six hundred seventy-two million, seven hundred twenty-five thousand, one hundred twenty".