10261771560000 has 945 divisors, whose sum is σ = 38929963059273. Its totient is φ = 2583221760000.

The previous prime is 10261771559927. The next prime is 10261771560031. The reversal of 10261771560000 is 6517716201.

The square root of 10261771560000 is 3203400.

It is a perfect power (a square), and thus also a powerful number.

10261771560000 is a `hidden beast` number, since 1 + 0 + 26 + 1 + 7 + 71 + 560 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 6192094745664 + 4069676814336 = 2488392^2 + 2017344^2 .

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 134 ways as a sum of consecutive naturals, for example, 36518759860 + ... + 36518760140.

Almost surely, 2^{10261771560000} is an apocalyptic number.

10261771560000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10261771560000 is the 3203400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10261771560000

10261771560000 is an abundant number, since it is smaller than the sum of its proper divisors (28668191499273).

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

10261771560000 is an frugal number, since it uses more digits than its factorization.

10261771560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

Multiplying 10261771560000 by its sum of digits (36), we get a square (369423776160000 = 19220400²).

10261771560000 divided by its sum of digits (36) gives a square (285049210000 = 533900²).

The spelling of 10261771560000 in words is "ten trillion, two hundred sixty-one billion, seven hundred seventy-one million, five hundred sixty thousand".