55546546251600 has 240 divisors, whose sum is σ = 203047926987840. Its totient is φ = 14412076761600.

The previous prime is 55546546251557. The next prime is 55546546251649. The reversal of 55546546251600 is 615264564555.

55546546251600 is a `hidden beast` number, since 5 + 5 + 5 + 4 + 6 + 5 + 4 + 6 + 25 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×55546546251600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69103086 + ... + 69902285.

It is an arithmetic number, because the mean of its divisors is an integer number (846033029116).

Almost surely, 2^{55546546251600} is an apocalyptic number.

55546546251600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55546546251600 is an abundant number, since it is smaller than the sum of its proper divisors (147501380736240).

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

55546546251600 is a wasteful number, since it uses less digits than its factorization.

55546546251600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139005435 (or 139005418 counting only the distinct ones).

The product of its (nonzero) digits is 21600000, while the sum is 54.

The spelling of 55546546251600 in words is "fifty-five trillion, five hundred forty-six billion, five hundred forty-six million, two hundred fifty-one thousand, six hundred".