55857628697832 has 384 divisors, whose sum is σ = 170576544902400. Its totient is φ = 16400624947200.

The previous prime is 55857628697813. The next prime is 55857628697869. The reversal of 55857628697832 is 23879682675855.

55857628697832 is a `hidden beast` number, since 5 + 5 + 8 + 576 + 2 + 8 + 6 + 9 + 7 + 8 + 32 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 418960893 + ... + 419094195.

It is an arithmetic number, because the mean of its divisors is an integer number (444209752350).

Almost surely, 2^{55857628697832} is an apocalyptic number.

55857628697832 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 55857628697832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85288272451200).

55857628697832 is an abundant number, since it is smaller than the sum of its proper divisors (114718916204568).

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

55857628697832 is a wasteful number, since it uses less digits than its factorization.

55857628697832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133609 (or 133602 counting only the distinct ones).

The product of its digits is 12192768000, while the sum is 81.

The spelling of 55857628697832 in words is "fifty-five trillion, eight hundred fifty-seven billion, six hundred twenty-eight million, six hundred ninety-seven thousand, eight hundred thirty-two".