53801556480 has 1280 divisors, whose sum is σ = 239847505920. Its totient is φ = 11147673600.

The previous prime is 53801556421. The next prime is 53801556499. The reversal of 53801556480 is 8465510835.

53801556480 is a `hidden beast` number, since 5 + 3 + 8 + 0 + 1 + 5 + 564 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 254983575 + ... + 254983785.

It is an arithmetic number, because the mean of its divisors is an integer number (187380864).

Almost surely, 2^53801556480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53801556480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119923752960).

53801556480 is an abundant number, since it is smaller than the sum of its proper divisors (186045949440).

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

53801556480 is a wasteful number, since it uses less digits than its factorization.

53801556480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

It can be divided in two parts, 538015 and 56480, that added together give a palindrome (594495).

The spelling of 53801556480 in words is "fifty-three billion, eight hundred one million, five hundred fifty-six thousand, four hundred eighty".