1157261022720 has 2560 divisors, whose sum is σ = 5102416281600. Its totient is φ = 248314429440.

The previous prime is 1157261022689. The next prime is 1157261022803. The reversal of 1157261022720 is 272201627511.

1157261022720 is a `hidden beast` number, since 1 + 1 + 572 + 6 + 10 + 2 + 2 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 26913047019 + ... + 26913047061.

It is an arithmetic number, because the mean of its divisors is an integer number (1993131360).

Almost surely, 2^{1157261022720} is an apocalyptic number.

1157261022720 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 1157261022720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551208140800).

1157261022720 is an abundant number, since it is smaller than the sum of its proper divisors (3945155258880).

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

1157261022720 is an equidigital number, since it uses as much as digits as its factorization.

1157261022720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 1157261022720 in words is "one trillion, one hundred fifty-seven billion, two hundred sixty-one million, twenty-two thousand, seven hundred twenty".