11952630308640 has 768 divisors, whose sum is σ = 44028085248000. Its totient is φ = 2669525434368.

The previous prime is 11952630308627. The next prime is 11952630308669. The reversal of 11952630308640 is 4680303625911.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11952630308640.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13006126101 + ... + 13006127019.

It is an arithmetic number, because the mean of its divisors is an integer number (57328236000).

Almost surely, 2^{11952630308640} is an apocalyptic number.

11952630308640 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 11952630308640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22014042624000).

11952630308640 is an abundant number, since it is smaller than the sum of its proper divisors (32075454939360).

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

11952630308640 is a wasteful number, since it uses less digits than its factorization.

11952630308640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 11952630308640 in words is "eleven trillion, nine hundred fifty-two billion, six hundred thirty million, three hundred eight thousand, six hundred forty".