53190950400 has 1080 divisors, whose sum is σ = 230293463400. Its totient is φ = 12123095040.

The previous prime is 53190950383. The next prime is 53190950411. The reversal of 53190950400 is 405909135.

It is a tau number, because it is divible by the number of its divisors (1080).

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

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, 152409426 + ... + 152409774.

Almost surely, 2^53190950400 is an apocalyptic number.

53190950400 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 53190950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115146731700).

53190950400 is an abundant number, since it is smaller than the sum of its proper divisors (177102513000).

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

53190950400 is an equidigital number, since it uses as much as digits as its factorization.

53190950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The spelling of 53190950400 in words is "fifty-three billion, one hundred ninety million, nine hundred fifty thousand, four hundred".