261385151400 has 288 divisors, whose sum is σ = 935480482560. Its totient is φ = 65253112320.

The previous prime is 261385151383. The next prime is 261385151411. The reversal of 261385151400 is 4151583162.

261385151400 is a `hidden beast` number, since 2 + 6 + 138 + 5 + 1 + 514 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1878634 + ... + 2012966.

It is an arithmetic number, because the mean of its divisors is an integer number (3248196120).

Almost surely, 2^261385151400 is an apocalyptic number.

261385151400 is a gapful number since it is divisible by the number (20) 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 261385151400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467740241280).

261385151400 is an abundant number, since it is smaller than the sum of its proper divisors (674095331160).

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

261385151400 is a wasteful number, since it uses less digits than its factorization.

261385151400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134425 (or 134413 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 261385151400 in words is "two hundred sixty-one billion, three hundred eighty-five million, one hundred fifty-one thousand, four hundred".