12920558192640 has 1536 divisors, whose sum is σ = 57658438656000. Its totient is φ = 2676014972928.

The previous prime is 12920558192611. The next prime is 12920558192693. The reversal of 12920558192640 is 4629185502921.

12920558192640 is a `hidden beast` number, since 1 + 2 + 9 + 20 + 558 + 1 + 9 + 2 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 845744682 + ... + 845759958.

It is an arithmetic number, because the mean of its divisors is an integer number (37538046000).

Almost surely, 2^{12920558192640} is an apocalyptic number.

12920558192640 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 12920558192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28829219328000).

12920558192640 is an abundant number, since it is smaller than the sum of its proper divisors (44737880463360).

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

12920558192640 is a wasteful number, since it uses less digits than its factorization.

12920558192640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15362 (or 15336 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 12920558192640 in words is "twelve trillion, nine hundred twenty billion, five hundred fifty-eight million, one hundred ninety-two thousand, six hundred forty".