1357968719520 has 672 divisors, whose sum is σ = 5736349124352. Its totient is φ = 296893403136.

The previous prime is 1357968719509. The next prime is 1357968719539. The reversal of 1357968719520 is 259178697531.

1357968719520 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 96 + 8 + 7 + 19 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 18742884 + ... + 18815196.

It is an arithmetic number, because the mean of its divisors is an integer number (8536233816).

Almost surely, 2^{1357968719520} is an apocalyptic number.

1357968719520 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 1357968719520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868174562176).

1357968719520 is an abundant number, since it is smaller than the sum of its proper divisors (4378380404832).

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

1357968719520 is an equidigital number, since it uses as much as digits as its factorization.

1357968719520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72376 (or 72353 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 63.

The spelling of 1357968719520 in words is "one trillion, three hundred fifty-seven billion, nine hundred sixty-eight million, seven hundred nineteen thousand, five hundred twenty".