55925563659840 has 1344 divisors, whose sum is σ = 237736087879680. Its totient is φ = 11785957539840.

The previous prime is 55925563659827. The next prime is 55925563659893. The reversal of 55925563659840 is 4895636552955.

55925563659840 is a `hidden beast` number, since 5 + 5 + 9 + 2 + 5 + 563 + 6 + 59 + 8 + 4 + 0 = 666.

55925563659840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3694130991 + ... + 3694146129.

Almost surely, 2^{55925563659840} 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 55925563659840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118868043939840).

55925563659840 is an abundant number, since it is smaller than the sum of its proper divisors (181810524219840).

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

55925563659840 is a wasteful number, since it uses less digits than its factorization.

55925563659840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15480 (or 15467 counting only the distinct ones).

The product of its (nonzero) digits is 1749600000, while the sum is 72.

The spelling of 55925563659840 in words is "fifty-five trillion, nine hundred twenty-five billion, five hundred sixty-three million, six hundred fifty-nine thousand, eight hundred forty".