55154342046720 has 1408 divisors, whose sum is σ = 213548804352000. Its totient is φ = 12130215788544.

The previous prime is 55154342046653. The next prime is 55154342046757. The reversal of 55154342046720 is 2764024345155.

It is a happy number.

It is a super-3 number, since 3×55154342046720³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 55154342046720.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 71351024254 + ... + 71351025026.

Almost surely, 2^{55154342046720} 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 55154342046720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106774402176000).

55154342046720 is an abundant number, since it is smaller than the sum of its proper divisors (158394462305280).

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

55154342046720 is a wasteful number, since it uses less digits than its factorization.

55154342046720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 48.

The spelling of 55154342046720 in words is "fifty-five trillion, one hundred fifty-four billion, three hundred forty-two million, forty-six thousand, seven hundred twenty".