53946902400 has 192 divisors, whose sum is σ = 188140391280. Its totient is φ = 13539573760.

The previous prime is 53946902371. The next prime is 53946902479. The reversal of 53946902400 is 420964935.

53946902400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×53946902400³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2079 + ... + 328478.

Almost surely, 2^53946902400 is an apocalyptic number.

53946902400 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 53946902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94070195640).

53946902400 is an abundant number, since it is smaller than the sum of its proper divisors (134193488880).

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

53946902400 is a wasteful number, since it uses less digits than its factorization.

53946902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330601 (or 330584 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 53946902400 in words is "fifty-three billion, nine hundred forty-six million, nine hundred two thousand, four hundred".