55785128448 has 320 divisors, whose sum is σ = 189313597440. Its totient is φ = 14210629632.

The previous prime is 55785128417. The next prime is 55785128479. The reversal of 55785128448 is 84482158755.

It is an interprime number because it is at equal distance from previous prime (55785128417) and next prime (55785128479).

It is a super-2 number, since 2×55785128448² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3464865 + ... + 3480927.

It is an arithmetic number, because the mean of its divisors is an integer number (591604992).

Almost surely, 2^55785128448 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 55785128448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94656798720).

55785128448 is an abundant number, since it is smaller than the sum of its proper divisors (133528468992).

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

55785128448 is a wasteful number, since it uses less digits than its factorization.

55785128448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16127 (or 16111 counting only the distinct ones).

The product of its digits is 14336000, while the sum is 57.

The spelling of 55785128448 in words is "fifty-five billion, seven hundred eighty-five million, one hundred twenty-eight thousand, four hundred forty-eight".