53353079377920 has 1248 divisors, whose sum is σ = 219538437431040. Its totient is φ = 12175170600960.

The previous prime is 53353079377919. The next prime is 53353079377921. The reversal of 53353079377920 is 2977397035335.

53353079377920 is a `hidden beast` number, since 5 + 3 + 3 + 530 + 7 + 9 + 3 + 7 + 7 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (53353079377919) and next prime (53353079377921).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (53353079377921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38633655630 + ... + 38633657010.

It is an arithmetic number, because the mean of its divisors is an integer number (175912209480).

Almost surely, 2^{53353079377920} 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 53353079377920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109769218715520).

53353079377920 is an abundant number, since it is smaller than the sum of its proper divisors (166185358053120).

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

53353079377920 is a wasteful number, since it uses less digits than its factorization.

53353079377920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2541 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 112521150, while the sum is 63.

The spelling of 53353079377920 in words is "fifty-three trillion, three hundred fifty-three billion, seventy-nine million, three hundred seventy-seven thousand, nine hundred twenty".