53400880080 has 240 divisors, whose sum is σ = 191572626960. Its totient is φ = 13283622912.

The previous prime is 53400880061. The next prime is 53400880129. The reversal of 53400880080 is 8008800435.

53400880080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 6672275856 + 46728604224 = 81684^2 + 216168^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1363816 + ... + 1402424.

It is an arithmetic number, because the mean of its divisors is an integer number (798219279).

Almost surely, 2^53400880080 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 53400880080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95786313480).

53400880080 is an abundant number, since it is smaller than the sum of its proper divisors (138171746880).

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

53400880080 is a wasteful number, since it uses less digits than its factorization.

53400880080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38758 (or 38749 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 53400880080 in words is "fifty-three billion, four hundred million, eight hundred eighty thousand, eighty".