55762477056000 has 4352 divisors, whose sum is σ = 253923240130560. Its totient is φ = 11890851840000.

The previous prime is 55762477055963. The next prime is 55762477056029. The reversal of 55762477056000 is 65077426755.

55762477056000 is a `hidden beast` number, since 5 + 5 + 7 + 6 + 2 + 4 + 7 + 70 + 560 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 1296801791979 + ... + 1296801792021.

Almost surely, 2^{55762477056000} is an apocalyptic number.

55762477056000 is a gapful number since it is divisible by the number (50) 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 55762477056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126961620065280).

55762477056000 is an abundant number, since it is smaller than the sum of its proper divisors (198160763074560).

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

55762477056000 is a wasteful number, since it uses less digits than its factorization.

55762477056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 12348000, while the sum is 54.

The spelling of 55762477056000 in words is "fifty-five trillion, seven hundred sixty-two billion, four hundred seventy-seven million, fifty-six thousand".