55037750400 has 336 divisors, whose sum is σ = 203856053010. Its totient is φ = 14676111360.

The previous prime is 55037750399. The next prime is 55037750431. The reversal of 55037750400 is 405773055.

55037750400 is a `hidden beast` number, since 550 + 37 + 75 + 0 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 27590538816 + 27447211584 = 166104^2 + 165672^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2321004 + ... + 2344596.

Almost surely, 2^55037750400 is an apocalyptic number.

55037750400 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 55037750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101928026505).

55037750400 is an abundant number, since it is smaller than the sum of its proper divisors (148818302610).

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

55037750400 is an equidigital number, since it uses as much as digits as its factorization.

55037750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23635 (or 23603 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 36.

The spelling of 55037750400 in words is "fifty-five billion, thirty-seven million, seven hundred fifty thousand, four hundred".