55145952576 has 896 divisors, whose sum is σ = 205808762880. Its totient is φ = 14233190400.

The previous prime is 55145952557. The next prime is 55145952577. The reversal of 55145952576 is 67525954155.

55145952576 is a `hidden beast` number, since 5 + 5 + 1 + 45 + 9 + 525 + 76 = 666.

55145952576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55145952577) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 176184996 + ... + 176185308.

It is an arithmetic number, because the mean of its divisors is an integer number (229697280).

Almost surely, 2^55145952576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55145952576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102904381440).

55145952576 is an abundant number, since it is smaller than the sum of its proper divisors (150662810304).

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

55145952576 is a wasteful number, since it uses less digits than its factorization.

55145952576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 396 counting only the distinct ones).

The product of its digits is 9450000, while the sum is 54.

The spelling of 55145952576 in words is "fifty-five billion, one hundred forty-five million, nine hundred fifty-two thousand, five hundred seventy-six".