55137233536 has 384 divisors, whose sum is σ = 143582544000. Its totient is φ = 21061877760.

The previous prime is 55137233527. The next prime is 55137233539. The reversal of 55137233536 is 63533273155.

55137233536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×55137233536² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55137233492 and 55137233501.

It is not an unprimeable number, because it can be changed into a prime (55137233539) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 515301195 + ... + 515301301.

It is an arithmetic number, because the mean of its divisors is an integer number (373912875).

Almost surely, 2^55137233536 is an apocalyptic number.

55137233536 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55137233536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71791272000).

55137233536 is an abundant number, since it is smaller than the sum of its proper divisors (88445310464).

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

55137233536 is a wasteful number, since it uses less digits than its factorization.

55137233536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 224 counting only the distinct ones).

The product of its digits is 850500, while the sum is 43.

The spelling of 55137233536 in words is "fifty-five billion, one hundred thirty-seven million, two hundred thirty-three thousand, five hundred thirty-six".