52267716405504 has 144 divisors (see below), whose sum is σ = 154588173277440. Its totient is φ = 17419941181440.

The previous prime is 52267716405491. The next prime is 52267716405517. The reversal of 52267716405504 is 40550461776225.

52267716405504 is a `hidden beast` number, since 5 + 2 + 2 + 6 + 7 + 71 + 64 + 0 + 5 + 504 = 666.

It is an interprime number because it is at equal distance from previous prime (52267716405491) and next prime (52267716405517).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×52267716405504² (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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45473209 + ... + 46608455.

Almost surely, 2^{52267716405504} is an apocalyptic number.

52267716405504 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52267716405504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77294086638720).

52267716405504 is an abundant number, since it is smaller than the sum of its proper divisors (102320456871936).

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

52267716405504 is a wasteful number, since it uses less digits than its factorization.

52267716405504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141933 (or 1141913 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

The spelling of 52267716405504 in words is "fifty-two trillion, two hundred sixty-seven billion, seven hundred sixteen million, four hundred five thousand, five hundred four".