53962878950400 has 528 divisors, whose sum is σ = 203948937948416. Its totient is φ = 12327097466880.

The previous prime is 53962878950369. The next prime is 53962878950447. The reversal of 53962878950400 is 405987826935.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 939158472 + ... + 939215928.

Almost surely, 2^{53962878950400} is an apocalyptic number.

53962878950400 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 53962878950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101974468974208).

53962878950400 is an abundant number, since it is smaller than the sum of its proper divisors (149986058998016).

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

53962878950400 is a wasteful number, since it uses less digits than its factorization.

53962878950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59244 (or 59221 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 66.

The spelling of 53962878950400 in words is "fifty-three trillion, nine hundred sixty-two billion, eight hundred seventy-eight million, nine hundred fifty thousand, four hundred".