55782064128 has 720 divisors, whose sum is σ = 193645105920. Its totient is φ = 14169931776.

The previous prime is 55782064099. The next prime is 55782064157. The reversal of 55782064128 is 82146028755.

It is an interprime number because it is at equal distance from previous prime (55782064099) and next prime (55782064157).

It is a super-2 number, since 2×55782064128² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1052491750 + ... + 1052491802.

It is an arithmetic number, because the mean of its divisors is an integer number (268951536).

Almost surely, 2^55782064128 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 55782064128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96822552960).

55782064128 is an abundant number, since it is smaller than the sum of its proper divisors (137863041792).

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

55782064128 is a wasteful number, since it uses less digits than its factorization.

55782064128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 55782064128 in words is "fifty-five billion, seven hundred eighty-two million, sixty-four thousand, one hundred twenty-eight".