1153187465920 has 168 divisors, whose sum is σ = 3203526790800. Its totient is φ = 394243799040.

The previous prime is 1153187465893. The next prime is 1153187465929. The reversal of 1153187465920 is 295647813511.

It is a super-2 number, since 2×1153187465920² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1153187465929) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5366955 + ... + 5577685.

It is an arithmetic number, because the mean of its divisors is an integer number (19068611850).

It is a 1-persistent number, because it is pandigital, but 2⋅1153187465920 = 2306374931840 is not.

Almost surely, 2^{1153187465920} is an apocalyptic number.

1153187465920 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 1153187465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601763395400).

1153187465920 is an abundant number, since it is smaller than the sum of its proper divisors (2050339324880).

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

1153187465920 is a wasteful number, since it uses less digits than its factorization.

1153187465920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211111 (or 211094 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 52.

The spelling of 1153187465920 in words is "one trillion, one hundred fifty-three billion, one hundred eighty-seven million, four hundred sixty-five thousand, nine hundred twenty".