53761664156040 has 448 divisors, whose sum is σ = 188469994752000. Its totient is φ = 13780829376000.

The previous prime is 53761664156033. The next prime is 53761664156059. The reversal of 53761664156040 is 4065146616735.

53761664156040 is a `hidden beast` number, since 5 + 3 + 7 + 6 + 16 + 6 + 4 + 15 + 604 + 0 = 666.

53761664156040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×53761664156040² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 134490465 + ... + 134889615.

Almost surely, 2^{53761664156040} 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 53761664156040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94234997376000).

53761664156040 is an abundant number, since it is smaller than the sum of its proper divisors (134708330595960).

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

53761664156040 is a wasteful number, since it uses less digits than its factorization.

53761664156040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399360 (or 399341 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 53761664156040 in words is "fifty-three trillion, seven hundred sixty-one billion, six hundred sixty-four million, one hundred fifty-six thousand, forty".