55534788621312 has 1056 divisors, whose sum is σ = 212938092218880. Its totient is φ = 12614150062080.

The previous prime is 55534788621281. The next prime is 55534788621329. The reversal of 55534788621312 is 21312688743555.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×55534788621312² (a number of 28 digits) contains 22 as substring.

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, 408916683 + ... + 409052469.

Almost surely, 2^{55534788621312} is an apocalyptic number.

55534788621312 is a gapful number since it is divisible by the number (52) 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 55534788621312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106469046109440).

55534788621312 is an abundant number, since it is smaller than the sum of its proper divisors (157403303597568).

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

55534788621312 is a wasteful number, since it uses less digits than its factorization.

55534788621312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135867 (or 135842 counting only the distinct ones).

The product of its digits is 48384000, while the sum is 60.

The spelling of 55534788621312 in words is "fifty-five trillion, five hundred thirty-four billion, seven hundred eighty-eight million, six hundred twenty-one thousand, three hundred twelve".