53579750400 has 1188 divisors, whose sum is σ = 224812921320. Its totient is φ = 12541132800.

The previous prime is 53579750381. The next prime is 53579750437. The reversal of 53579750400 is 405797535.

53579750400 is a `hidden beast` number, since 5 + 3 + 57 + 97 + 504 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1188).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1847577586 + ... + 1847577614.

Almost surely, 2^53579750400 is an apocalyptic number.

53579750400 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 53579750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112406460660).

53579750400 is an abundant number, since it is smaller than the sum of its proper divisors (171233170920).

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

53579750400 is an equidigital number, since it uses as much as digits as its factorization.

53579750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 661500, while the sum is 45.

The spelling of 53579750400 in words is "fifty-three billion, five hundred seventy-nine million, seven hundred fifty thousand, four hundred".