1357954657920 has 1280 divisors, whose sum is σ = 5898401752320. Its totient is φ = 290635776000.

The previous prime is 1357954657879. The next prime is 1357954657963. The reversal of 1357954657920 is 297564597531.

1357954657920 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 9 + 54 + 6 + 579 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1548408522 + ... + 1548409398.

It is an arithmetic number, because the mean of its divisors is an integer number (4608126369).

Almost surely, 2^{1357954657920} is an apocalyptic number.

1357954657920 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 1357954657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949200876160).

1357954657920 is an abundant number, since it is smaller than the sum of its proper divisors (4540447094400).

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

1357954657920 is a wasteful number, since it uses less digits than its factorization.

1357954657920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 71442000, while the sum is 63.

The spelling of 1357954657920 in words is "one trillion, three hundred fifty-seven billion, nine hundred fifty-four million, six hundred fifty-seven thousand, nine hundred twenty".