11757361097664 has 672 divisors, whose sum is σ = 43155259603456. Its totient is φ = 3090627809280.

The previous prime is 11757361097639. The next prime is 11757361097681. The reversal of 11757361097664 is 46679016375711.

11757361097664 is a `hidden beast` number, since 1 + 1 + 7 + 5 + 7 + 3 + 610 + 9 + 7 + 6 + 6 + 4 = 666.

11757361097664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 434462694 + ... + 434489754.

Almost surely, 2^{11757361097664} is an apocalyptic number.

11757361097664 is a gapful number since it is divisible by the number (14) 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 11757361097664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21577629801728).

11757361097664 is an abundant number, since it is smaller than the sum of its proper divisors (31397898505792).

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

11757361097664 is a wasteful number, since it uses less digits than its factorization.

11757361097664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27415 (or 27393 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 11757361097664 in words is "eleven trillion, seven hundred fifty-seven billion, three hundred sixty-one million, ninety-seven thousand, six hundred sixty-four".