55070346240 has 1056 divisors, whose sum is σ = 245492222976. Its totient is φ = 11094589440.

The previous prime is 55070346239. The next prime is 55070346251. The reversal of 55070346240 is 4264307055.

55070346240 is a `hidden beast` number, since 5 + 5 + 0 + 70 + 346 + 240 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 55070346195 and 55070346204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96445155 + ... + 96445725.

It is an arithmetic number, because the mean of its divisors is an integer number (232473696).

Almost surely, 2^55070346240 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 55070346240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122746111488).

55070346240 is an abundant number, since it is smaller than the sum of its proper divisors (190421876736).

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

55070346240 is a wasteful number, since it uses less digits than its factorization.

55070346240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 55070346240 in words is "fifty-five billion, seventy million, three hundred forty-six thousand, two hundred forty".