55010672640 has 1920 divisors, whose sum is σ = 271782604800. Its totient is φ = 10192158720.

The previous prime is 55010672603. The next prime is 55010672641. The reversal of 55010672640 is 4627601055.

It is a happy number.

55010672640 is a `hidden beast` number, since 5 + 5 + 0 + 1 + 0 + 6 + 7 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 55010672595 and 55010672604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55010672641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2895298551 + ... + 2895298569.

It is an arithmetic number, because the mean of its divisors is an integer number (141553440).

Almost surely, 2^55010672640 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 55010672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135891302400).

55010672640 is an abundant number, since it is smaller than the sum of its proper divisors (216771932160).

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

55010672640 is a wasteful number, since it uses less digits than its factorization.

55010672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 55010672640 in words is "fifty-five billion, ten million, six hundred seventy-two thousand, six hundred forty".