53011358547840 has 3072 divisors, whose sum is σ = 249617624832000. Its totient is φ = 10631118274560.

The previous prime is 53011358547727. The next prime is 53011358547871. The reversal of 53011358547840 is 4874585311035.

53011358547840 is a `hidden beast` number, since 5 + 3 + 0 + 1 + 1 + 3 + 58 + 547 + 8 + 40 = 666.

53011358547840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 21878396869 + ... + 21878399291.

It is an arithmetic number, because the mean of its divisors is an integer number (81255737250).

Almost surely, 2^{53011358547840} 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 53011358547840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124808812416000).

53011358547840 is an abundant number, since it is smaller than the sum of its proper divisors (196606266284160).

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

53011358547840 is a wasteful number, since it uses less digits than its factorization.

53011358547840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2517 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 53011358547840 in words is "fifty-three trillion, eleven billion, three hundred fifty-eight million, five hundred forty-seven thousand, eight hundred forty".