55549890257400 has 1152 divisors, whose sum is σ = 245040120000000. Its totient is φ = 10925914521600.

The previous prime is 55549890257383. The next prime is 55549890257429. The reversal of 55549890257400 is 475209894555.

55549890257400 is a `hidden beast` number, since 5 + 5 + 5 + 4 + 98 + 90 + 2 + 57 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3289108156 + ... + 3289125044.

It is an arithmetic number, because the mean of its divisors is an integer number (212708437500).

Almost surely, 2^{55549890257400} is an apocalyptic number.

55549890257400 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 55549890257400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122520060000000).

55549890257400 is an abundant number, since it is smaller than the sum of its proper divisors (189490229742600).

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

55549890257400 is a wasteful number, since it uses less digits than its factorization.

55549890257400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18197 (or 18185 counting only the distinct ones).

The product of its (nonzero) digits is 90720000, while the sum is 63.

The spelling of 55549890257400 in words is "fifty-five trillion, five hundred forty-nine billion, eight hundred ninety million, two hundred fifty-seven thousand, four hundred".