55901827968 has 384 divisors, whose sum is σ = 182810764800. Its totient is φ = 15049359360.

The previous prime is 55901827951. The next prime is 55901827981. The reversal of 55901827968 is 86972810955.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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, 96883296 + ... + 96883872.

It is an arithmetic number, because the mean of its divisors is an integer number (476069700).

Almost surely, 2^55901827968 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 55901827968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91405382400).

55901827968 is an abundant number, since it is smaller than the sum of its proper divisors (126908936832).

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

55901827968 is a wasteful number, since it uses less digits than its factorization.

55901827968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 60.

It can be divided in two parts, 559018 and 27968, that added together give a triangular number (586986 = T₁₀₈₃).

The spelling of 55901827968 in words is "fifty-five billion, nine hundred one million, eight hundred twenty-seven thousand, nine hundred sixty-eight".