14753257953280 has 1152 divisors, whose sum is σ = 47175255429120. Its totient is φ = 4326889881600.

The previous prime is 14753257953263. The next prime is 14753257953307. The reversal of 14753257953280 is 8235975235741.

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, 9948251419 + ... + 9948252901.

It is an arithmetic number, because the mean of its divisors is an integer number (40950742560).

Almost surely, 2^{14753257953280} is an apocalyptic number.

14753257953280 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 14753257953280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23587627714560).

14753257953280 is an abundant number, since it is smaller than the sum of its proper divisors (32421997475840).

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

14753257953280 is a wasteful number, since it uses less digits than its factorization.

14753257953280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 61.

The spelling of 14753257953280 in words is "fourteen trillion, seven hundred fifty-three billion, two hundred fifty-seven million, nine hundred fifty-three thousand, two hundred eighty".