1351754553072 has 480 divisors, whose sum is σ = 4555433433600. Its totient is φ = 337692579840.

The previous prime is 1351754553031. The next prime is 1351754553091. The reversal of 1351754553072 is 2703554571531.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 326587579 + ... + 326591717.

It is an arithmetic number, because the mean of its divisors is an integer number (9490486320).

Almost surely, 2^{1351754553072} is an apocalyptic number.

1351754553072 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 1351754553072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2277716716800).

1351754553072 is an abundant number, since it is smaller than the sum of its proper divisors (3203678880528).

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

1351754553072 is a wasteful number, since it uses less digits than its factorization.

1351754553072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4485 (or 4468 counting only the distinct ones).

The product of its (nonzero) digits is 2205000, while the sum is 48.

The spelling of 1351754553072 in words is "one trillion, three hundred fifty-one billion, seven hundred fifty-four million, five hundred fifty-three thousand, seventy-two".