1260061533900 has 576 divisors, whose sum is σ = 4862238796800. Its totient is φ = 276556861440.

The previous prime is 1260061533869. The next prime is 1260061533911. The reversal of 1260061533900 is 93351600621.

1260061533900 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 0 + 615 + 3 + 39 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11281729 + ... + 11392871.

It is an arithmetic number, because the mean of its divisors is an integer number (8441386800).

Almost surely, 2^{1260061533900} is an apocalyptic number.

1260061533900 is a gapful number since it is divisible by the number (10) 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 1260061533900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431119398400).

1260061533900 is an abundant number, since it is smaller than the sum of its proper divisors (3602177262900).

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

1260061533900 is a wasteful number, since it uses less digits than its factorization.

1260061533900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111215 (or 111202 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 1260061533900 in words is "one trillion, two hundred sixty billion, sixty-one million, five hundred thirty-three thousand, nine hundred".