1129949657760 has 768 divisors, whose sum is σ = 4678455656448. Its totient is φ = 222375628800.

The previous prime is 1129949657737. The next prime is 1129949657773. The reversal of 1129949657760 is 677569499211.

It is a super-2 number, since 2×1129949657760² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 1129949657691 and 1129949657700.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53840229 + ... + 53861211.

It is an arithmetic number, because the mean of its divisors is an integer number (6091739136).

Almost surely, 2^{1129949657760} is an apocalyptic number.

1129949657760 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 1129949657760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339227828224).

1129949657760 is an abundant number, since it is smaller than the sum of its proper divisors (3548505998688).

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

1129949657760 is a wasteful number, since it uses less digits than its factorization.

1129949657760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21097 (or 21089 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 66.

The spelling of 1129949657760 in words is "one trillion, one hundred twenty-nine billion, nine hundred forty-nine million, six hundred fifty-seven thousand, seven hundred sixty".