1151354880000 has 1350 divisors, whose sum is σ = 4624963945602. Its totient is φ = 274268160000.

The previous prime is 1151354879957. The next prime is 1151354880019. The reversal of 1151354880000 is 884531511.

1151354880000 is a `hidden beast` number, since 11 + 513 + 54 + 8 + 80 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 674658533376 + 476696346624 = 821376^2 + 690432^2 .

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 89 ways as a sum of consecutive naturals, for example, 37140479985 + ... + 37140480015.

Almost surely, 2^{1151354880000} is an apocalyptic number.

1151354880000 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 1151354880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312481972801).

1151354880000 is an abundant number, since it is smaller than the sum of its proper divisors (3473609065602).

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

1151354880000 is an frugal number, since it uses more digits than its factorization.

1151354880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 1151354880000 in words is "one trillion, one hundred fifty-one billion, three hundred fifty-four million, eight hundred eighty thousand".