1151567738880 has 384 divisors, whose sum is σ = 4140044213760. Its totient is φ = 271136194560.

The previous prime is 1151567738873. The next prime is 1151567738887. The reversal of 1151567738880 is 888377651511.

It is an interprime number because it is at equal distance from previous prime (1151567738873) and next prime (1151567738887).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1151567738880² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1151567738887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9122595 + ... + 9247965.

It is an arithmetic number, because the mean of its divisors is an integer number (10781365140).

Almost surely, 2^{1151567738880} is an apocalyptic number.

1151567738880 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 1151567738880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070022106880).

1151567738880 is an abundant number, since it is smaller than the sum of its proper divisors (2988476474880).

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

1151567738880 is a wasteful number, since it uses less digits than its factorization.

1151567738880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125437 (or 125417 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 60.

The spelling of 1151567738880 in words is "one trillion, one hundred fifty-one billion, five hundred sixty-seven million, seven hundred thirty-eight thousand, eight hundred eighty".