55034061157152 has 2160 divisors, whose sum is σ = 214886198419200. Its totient is φ = 13752135936000.

The previous prime is 55034061157109. The next prime is 55034061157189. The reversal of 55034061157152 is 25175116043055.

55034061157152 is a `hidden beast` number, since 5 + 5 + 0 + 340 + 6 + 1 + 157 + 152 = 666.

It is a super-2 number, since 2×55034061157152² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55034061157098 and 55034061157107.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 157690719474 + ... + 157690719822.

It is an arithmetic number, because the mean of its divisors is an integer number (99484351120).

Almost surely, 2^{55034061157152} 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 55034061157152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107443099209600).

55034061157152 is an abundant number, since it is smaller than the sum of its proper divisors (159852137262048).

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

55034061157152 is a wasteful number, since it uses less digits than its factorization.

55034061157152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 45.

The spelling of 55034061157152 in words is "fifty-five trillion, thirty-four billion, sixty-one million, one hundred fifty-seven thousand, one hundred fifty-two".