53021762640 has 480 divisors, whose sum is σ = 229171617792. Its totient is φ = 10661760000.

The previous prime is 53021762567. The next prime is 53021762641. The reversal of 53021762640 is 4626712035.

53021762640 is a `hidden beast` number, since 5 + 3 + 0 + 2 + 1 + 7 + 6 + 2 + 640 = 666.

It is a super-2 number, since 2×53021762640² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 53021762595 and 53021762604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53021762641) 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, 1703215 + ... + 1734065.

Almost surely, 2^53021762640 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 53021762640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114585808896).

53021762640 is an abundant number, since it is smaller than the sum of its proper divisors (176149855152).

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

53021762640 is a wasteful number, since it uses less digits than its factorization.

53021762640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30919 (or 30910 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 53021762640 in words is "fifty-three billion, twenty-one million, seven hundred sixty-two thousand, six hundred forty".