53293767345000 has 2560 divisors, whose sum is σ = 235408145280000. Its totient is φ = 11234111616000.

The previous prime is 53293767344989. The next prime is 53293767345019. The reversal of 53293767345000 is 54376739235.

53293767345000 is a `hidden beast` number, since 5 + 3 + 293 + 7 + 6 + 7 + 345 + 0 + 0 + 0 = 666.

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 639 ways as a sum of consecutive naturals, for example, 48759164454 + ... + 48759165546.

It is an arithmetic number, because the mean of its divisors is an integer number (91956306750).

Almost surely, 2^{53293767345000} is an apocalyptic number.

53293767345000 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 53293767345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117704072640000).

53293767345000 is an abundant number, since it is smaller than the sum of its proper divisors (182114377935000).

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

53293767345000 is an equidigital number, since it uses as much as digits as its factorization.

53293767345000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 14288400, while the sum is 54.

The spelling of 53293767345000 in words is "fifty-three trillion, two hundred ninety-three billion, seven hundred sixty-seven million, three hundred forty-five thousand".