53962426800 has 720 divisors, whose sum is σ = 208161364320. Its totient is φ = 13423656960.

The previous prime is 53962426789. The next prime is 53962426801. The reversal of 53962426800 is 862426935.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×53962426800² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (53962426801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 477543544 + ... + 477543656.

It is an arithmetic number, because the mean of its divisors is an integer number (289113006).

Almost surely, 2^53962426800 is an apocalyptic number.

53962426800 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 53962426800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104080682160).

53962426800 is an abundant number, since it is smaller than the sum of its proper divisors (154198937520).

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

53962426800 is a wasteful number, since it uses less digits than its factorization.

53962426800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 53962426800 in words is "fifty-three billion, nine hundred sixty-two million, four hundred twenty-six thousand, eight hundred".