55346035240632 has 128 divisors (see below), whose sum is σ = 141930340312320. Its totient is φ = 17974535040000.

The previous prime is 55346035240543. The next prime is 55346035240663. The reversal of 55346035240632 is 23604253064355.

It is a super-2 number, since 2×55346035240632² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3072551658 + ... + 3072569670.

It is an arithmetic number, because the mean of its divisors is an integer number (1108830783690).

Almost surely, 2^{55346035240632} 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 55346035240632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70965170156160).

55346035240632 is an abundant number, since it is smaller than the sum of its proper divisors (86584305071688).

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

55346035240632 is a wasteful number, since it uses less digits than its factorization.

55346035240632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22085 (or 22081 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 48.

The spelling of 55346035240632 in words is "fifty-five trillion, three hundred forty-six billion, thirty-five million, two hundred forty thousand, six hundred thirty-two".