15212355961440 has 384 divisors, whose sum is σ = 58263372679680. Its totient is φ = 3288231936000.

The previous prime is 15212355961391. The next prime is 15212355961441. The reversal of 15212355961440 is 4416955321251.

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 15212355961440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15212355961441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2754511 + ... + 6165390.

It is an arithmetic number, because the mean of its divisors is an integer number (151727533020).

Almost surely, 2^{15212355961440} is an apocalyptic number.

15212355961440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15212355961440 is an abundant number, since it is smaller than the sum of its proper divisors (43051016718240).

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

15212355961440 is a wasteful number, since it uses less digits than its factorization.

15212355961440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8919966 (or 8919958 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 48.

The spelling of 15212355961440 in words is "fifteen trillion, two hundred twelve billion, three hundred fifty-five million, nine hundred sixty-one thousand, four hundred forty".