53153148415824 has 160 divisors (see below), whose sum is σ = 155406770830080. Its totient is φ = 17389454630400.

The previous prime is 53153148415811. The next prime is 53153148415841. The reversal of 53153148415824 is 42851484135135.

53153148415824 is a `hidden beast` number, since 5 + 3 + 1 + 5 + 3 + 1 + 484 + 158 + 2 + 4 = 666.

It is a super-2 number, since 2×53153148415824² (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 31 ways as a sum of consecutive naturals, for example, 9960589 + ... + 14335955.

It is an arithmetic number, because the mean of its divisors is an integer number (971292317688).

Almost surely, 2^{53153148415824} is an apocalyptic number.

53153148415824 is a gapful number since it is divisible by the number (54) 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 53153148415824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77703385415040).

53153148415824 is an abundant number, since it is smaller than the sum of its proper divisors (102253622414256).

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

53153148415824 is a wasteful number, since it uses less digits than its factorization.

53153148415824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4375906 (or 4375894 counting only the distinct ones).

The product of its digits is 9216000, while the sum is 54.

The spelling of 53153148415824 in words is "fifty-three trillion, one hundred fifty-three billion, one hundred forty-eight million, four hundred fifteen thousand, eight hundred twenty-four".