53845178400 has 432 divisors, whose sum is σ = 205036892424. Its totient is φ = 13217955840.

The previous prime is 53845178389. The next prime is 53845178407. The reversal of 53845178400 is 487154835.

53845178400 is a `hidden beast` number, since 5 + 38 + 45 + 178 + 400 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 17573214096 + 36271964304 = 132564^2 + 190452^2 .

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

It is not an unprimeable number, because it can be changed into a prime (53845178407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54006702 + ... + 54007698.

Almost surely, 2^53845178400 is an apocalyptic number.

53845178400 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 53845178400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102518446212).

53845178400 is an abundant number, since it is smaller than the sum of its proper divisors (151191714024).

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

53845178400 is a wasteful number, since it uses less digits than its factorization.

53845178400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 53845178400 in words is "fifty-three billion, eight hundred forty-five million, one hundred seventy-eight thousand, four hundred".