55768750752 has 288 divisors, whose sum is σ = 182043832320. Its totient is φ = 14777717760.

The previous prime is 55768750727. The next prime is 55768750757. The reversal of 55768750752 is 25705786755.

It is a super-2 number, since 2×55768750752² (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 a junction number, because it is equal to n+sod(n) for n = 55768750692 and 55768750701.

It is not an unprimeable number, because it can be changed into a prime (55768750757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3382593 + ... + 3399039.

It is an arithmetic number, because the mean of its divisors is an integer number (632096640).

Almost surely, 2^55768750752 is an apocalyptic number.

55768750752 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 55768750752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91021916160).

55768750752 is an abundant number, since it is smaller than the sum of its proper divisors (126275081568).

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

55768750752 is a wasteful number, since it uses less digits than its factorization.

55768750752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16516 (or 16495 counting only the distinct ones).

The product of its (nonzero) digits is 20580000, while the sum is 57.

The spelling of 55768750752 in words is "fifty-five billion, seven hundred sixty-eight million, seven hundred fifty thousand, seven hundred fifty-two".