14057011755600 has 240 divisors, whose sum is σ = 49137802550784. Its totient is φ = 3406724288000.

The previous prime is 14057011755581. The next prime is 14057011755607. The reversal of 14057011755600 is 655711075041.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-5 number, since 5×14057011755600⁵ (a number of 67 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14057011755607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43703365 + ... + 44023835.

Almost surely, 2^{14057011755600} is an apocalyptic number.

14057011755600 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 14057011755600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24568901275392).

14057011755600 is an abundant number, since it is smaller than the sum of its proper divisors (35080790795184).

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

14057011755600 is a wasteful number, since it uses less digits than its factorization.

14057011755600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323826 (or 323815 counting only the distinct ones).

The product of its (nonzero) digits is 147000, while the sum is 42.

The spelling of 14057011755600 in words is "fourteen trillion, fifty-seven billion, eleven million, seven hundred fifty-five thousand, six hundred".