55945451520 has 768 divisors, whose sum is σ = 230022374400. Its totient is φ = 12634030080.

The previous prime is 55945451491. The next prime is 55945451581. The reversal of 55945451520 is 2515454955.

55945451520 is a `hidden beast` number, since 5 + 5 + 94 + 545 + 15 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 265144215 + ... + 265144425.

It is an arithmetic number, because the mean of its divisors is an integer number (299508300).

Almost surely, 2^55945451520 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 55945451520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115011187200).

55945451520 is an abundant number, since it is smaller than the sum of its proper divisors (174076922880).

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

55945451520 is a wasteful number, since it uses less digits than its factorization.

55945451520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 900000, while the sum is 45.

The spelling of 55945451520 in words is "fifty-five billion, nine hundred forty-five million, four hundred fifty-one thousand, five hundred twenty".