55029920400 has 1440 divisors, whose sum is σ = 258898012800. Its totient is φ = 10973491200.

The previous prime is 55029920377. The next prime is 55029920401. The reversal of 55029920400 is 402992055.

It is a happy number.

55029920400 is a `hidden beast` number, since 5 + 502 + 99 + 20 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (55029920401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 130712190 + ... + 130712610.

Almost surely, 2^55029920400 is an apocalyptic number.

55029920400 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 55029920400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129449006400).

55029920400 is an abundant number, since it is smaller than the sum of its proper divisors (203868092400).

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

55029920400 is a wasteful number, since it uses less digits than its factorization.

55029920400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 55029920400 in words is "fifty-five billion, twenty-nine million, nine hundred twenty thousand, four hundred".