53461884500640 has 1920 divisors, whose sum is σ = 240859967040000. Its totient is φ = 11070708203520.

The previous prime is 53461884500621. The next prime is 53461884500641. The reversal of 53461884500640 is 4600548816435.

53461884500640 is a `hidden beast` number, since 5 + 3 + 4 + 6 + 18 + 84 + 500 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (53461884500641) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 15500689636 + ... + 15500693084.

It is an arithmetic number, because the mean of its divisors is an integer number (125447899500).

Almost surely, 2^{53461884500640} 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 53461884500640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120429983520000).

53461884500640 is an abundant number, since it is smaller than the sum of its proper divisors (187398082539360).

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

53461884500640 is a wasteful number, since it uses less digits than its factorization.

53461884500640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3825 (or 3794 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 53461884500640 in words is "fifty-three trillion, four hundred sixty-one billion, eight hundred eighty-four million, five hundred thousand, six hundred forty".