12955041354528 has 1152 divisors, whose sum is σ = 47925198720000. Its totient is φ = 3374470471680.

The previous prime is 12955041354527. The next prime is 12955041354631. The reversal of 12955041354528 is 82545314055921.

12955041354528 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 50 + 4 + 13 + 54 + 528 = 666.

It is a super-2 number, since 2×12955041354528² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12955041354527) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19599154518 + ... + 19599155178.

It is an arithmetic number, because the mean of its divisors is an integer number (41601735000).

Almost surely, 2^{12955041354528} is an apocalyptic number.

12955041354528 is a gapful number since it is divisible by the number (18) 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 12955041354528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23962599360000).

12955041354528 is an abundant number, since it is smaller than the sum of its proper divisors (34970157365472).

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

12955041354528 is a wasteful number, since it uses less digits than its factorization.

12955041354528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 54.

The spelling of 12955041354528 in words is "twelve trillion, nine hundred fifty-five billion, forty-one million, three hundred fifty-four thousand, five hundred twenty-eight".