53968896000 has 608 divisors, whose sum is σ = 202836154560. Its totient is φ = 14155776000.

The previous prime is 53968895887. The next prime is 53968896013. The reversal of 53968896000 is 69886935.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 884735970 + ... + 884736030.

Almost surely, 2^53968896000 is an apocalyptic number.

53968896000 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 53968896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101418077280).

53968896000 is an abundant number, since it is smaller than the sum of its proper divisors (148867258560).

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

53968896000 is an frugal number, since it uses more digits than its factorization.

53968896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 53968896000 in words is "fifty-three billion, nine hundred sixty-eight million, eight hundred ninety-six thousand".