55167663600 has 480 divisors, whose sum is σ = 226750487040. Its totient is φ = 12478095360.

The previous prime is 55167663599. The next prime is 55167663671. The reversal of 55167663600 is 636676155.

55167663600 is a `hidden beast` number, since 5 + 5 + 1 + 6 + 7 + 6 + 636 + 0 + 0 = 666.

It is a super-2 number, since 2×55167663600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 7329439 + ... + 7336961.

It is an arithmetic number, because the mean of its divisors is an integer number (472396848).

Almost surely, 2^55167663600 is an apocalyptic number.

55167663600 is a gapful number since it is divisible by the number (50) 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 55167663600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113375243520).

55167663600 is an abundant number, since it is smaller than the sum of its proper divisors (171582823440).

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

55167663600 is a wasteful number, since it uses less digits than its factorization.

55167663600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7654 (or 7637 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 55167663600 in words is "fifty-five billion, one hundred sixty-seven million, six hundred sixty-three thousand, six hundred".