53480311948800 has 2400 divisors, whose sum is σ = 222397291733760. Its totient is φ = 12582140313600.

The previous prime is 53480311948771. The next prime is 53480311948829. The reversal of 53480311948800 is 884911308435.

53480311948800 is a `hidden beast` number, since 5 + 3 + 48 + 0 + 3 + 119 + 488 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (53480311948771) and next prime (53480311948829).

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-2 number, since 2×53480311948800² (a number of 28 digits) contains 22 as substring.

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 239 ways as a sum of consecutive naturals, for example, 62258802771 + ... + 62258803629.

Almost surely, 2^{53480311948800} is an apocalyptic number.

53480311948800 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 53480311948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111198645866880).

53480311948800 is an abundant number, since it is smaller than the sum of its proper divisors (168916979784960).

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

53480311948800 is a wasteful number, since it uses less digits than its factorization.

53480311948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 53480311948800 in words is "fifty-three trillion, four hundred eighty billion, three hundred eleven million, nine hundred forty-eight thousand, eight hundred".