1152611962880 has 624 divisors, whose sum is σ = 3445850165760. Its totient is φ = 367873228800.

The previous prime is 1152611962807. The next prime is 1152611962897. The reversal of 1152611962880 is 882691162511.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1163079185 + ... + 1163080175.

Almost surely, 2^{1152611962880} is an apocalyptic number.

1152611962880 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 1152611962880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722925082880).

1152611962880 is an abundant number, since it is smaller than the sum of its proper divisors (2293238202880).

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

1152611962880 is an equidigital number, since it uses as much as digits as its factorization.

1152611962880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 50.

The spelling of 1152611962880 in words is "one trillion, one hundred fifty-two billion, six hundred eleven million, nine hundred sixty-two thousand, eight hundred eighty".