53965305400 has 96 divisors (see below), whose sum is σ = 130083861600. Its totient is φ = 20795532800.

The previous prime is 53965305397. The next prime is 53965305403. The reversal of 53965305400 is 450356935.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (53965305397) and next prime (53965305403).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53965305403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2663709 + ... + 2683891.

It is an arithmetic number, because the mean of its divisors is an integer number (1355040225).

Almost surely, 2^53965305400 is an apocalyptic number.

53965305400 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 53965305400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65041930800).

53965305400 is an abundant number, since it is smaller than the sum of its proper divisors (76118556200).

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

53965305400 is a wasteful number, since it uses less digits than its factorization.

53965305400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20689 (or 20680 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 40.

The spelling of 53965305400 in words is "fifty-three billion, nine hundred sixty-five million, three hundred five thousand, four hundred".