1161747498240 has 1152 divisors, whose sum is σ = 4988641996800. Its totient is φ = 250358169600.

The previous prime is 1161747498169. The next prime is 1161747498259. The reversal of 1161747498240 is 428947471611.

1161747498240 is a `hidden beast` number, since 1 + 1 + 61 + 7 + 474 + 98 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 301672315 + ... + 301676165.

It is an arithmetic number, because the mean of its divisors is an integer number (4330418400).

Almost surely, 2^{1161747498240} is an apocalyptic number.

1161747498240 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 1161747498240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494320998400).

1161747498240 is an abundant number, since it is smaller than the sum of its proper divisors (3826894498560).

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

1161747498240 is a wasteful number, since it uses less digits than its factorization.

1161747498240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3960 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 1161747498240 in words is "one trillion, one hundred sixty-one billion, seven hundred forty-seven million, four hundred ninety-eight thousand, two hundred forty".