53070247508040 has 1536 divisors, whose sum is σ = 216097435008000. Its totient is φ = 11456993673216.

The previous prime is 53070247508023. The next prime is 53070247508129. The reversal of 53070247508040 is 4080574207035.

53070247508040 is a `hidden beast` number, since 5 + 30 + 70 + 2 + 4 + 7 + 508 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 53229936822 + ... + 53229937818.

It is an arithmetic number, because the mean of its divisors is an integer number (140688434250).

Almost surely, 2^{53070247508040} 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 53070247508040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108048717504000).

53070247508040 is an abundant number, since it is smaller than the sum of its proper divisors (163027187499960).

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

53070247508040 is a wasteful number, since it uses less digits than its factorization.

53070247508040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 53070247508040 in words is "fifty-three trillion, seventy billion, two hundred forty-seven million, five hundred eight thousand, forty".