55762561152 has 192 divisors, whose sum is σ = 170861464800. Its totient is φ = 17395310592.

The previous prime is 55762561109. The next prime is 55762561157. The reversal of 55762561152 is 25116526755.

55762561152 is a `hidden beast` number, since 5 + 5 + 7 + 6 + 25 + 611 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 55762561098 and 55762561107.

It is not an unprimeable number, because it can be changed into a prime (55762561157) 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 23 ways as a sum of consecutive naturals, for example, 3497583 + ... + 3513489.

Almost surely, 2^55762561152 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 55762561152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85430732400).

55762561152 is an abundant number, since it is smaller than the sum of its proper divisors (115098903648).

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

55762561152 is a wasteful number, since it uses less digits than its factorization.

55762561152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16123 (or 16108 counting only the distinct ones).

The product of its digits is 630000, while the sum is 45.

The spelling of 55762561152 in words is "fifty-five billion, seven hundred sixty-two million, five hundred sixty-one thousand, one hundred fifty-two".