55623906240 has 672 divisors, whose sum is σ = 212953079808. Its totient is φ = 12257280000.

The previous prime is 55623906227. The next prime is 55623906251. The reversal of 55623906240 is 4260932655.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 55623906192 and 55623906201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 291224545 + ... + 291224735.

It is an arithmetic number, because the mean of its divisors is an integer number (316894464).

Almost surely, 2^55623906240 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 55623906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106476539904).

55623906240 is an abundant number, since it is smaller than the sum of its proper divisors (157329173568).

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

55623906240 is a wasteful number, since it uses less digits than its factorization.

55623906240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 55623906240 in words is "fifty-five billion, six hundred twenty-three million, nine hundred six thousand, two hundred forty".