261927386424 has 384 divisors, whose sum is σ = 840581280000. Its totient is φ = 75418801920.

The previous prime is 261927386411. The next prime is 261927386429. The reversal of 261927386424 is 424683729162.

It is a happy number.

261927386424 is a `hidden beast` number, since 2 + 61 + 92 + 73 + 8 + 6 + 424 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261927386429) 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, 41579227 + ... + 41585525.

It is an arithmetic number, because the mean of its divisors is an integer number (2189013750).

Almost surely, 2^261927386424 is an apocalyptic number.

261927386424 is a gapful number since it is divisible by the number (24) 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 261927386424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420290640000).

261927386424 is an abundant number, since it is smaller than the sum of its proper divisors (578653893576).

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

261927386424 is a wasteful number, since it uses less digits than its factorization.

261927386424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6416 (or 6395 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

It can be divided in two parts, 26192738 and 6424, that added together give a palindrome (26199162).

The spelling of 261927386424 in words is "two hundred sixty-one billion, nine hundred twenty-seven million, three hundred eighty-six thousand, four hundred twenty-four".