1468577039820 has 192 divisors, whose sum is σ = 4641825968640. Its totient is φ = 343645388800.

The previous prime is 1468577039819. The next prime is 1468577039837. The reversal of 1468577039820 is 289307758641.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85757779 + ... + 85774901.

It is an arithmetic number, because the mean of its divisors is an integer number (24176176920).

It is a 1-persistent number, because it is pandigital, but 2⋅1468577039820 = 2937154079640 is not.

Almost surely, 2^{1468577039820} is an apocalyptic number.

1468577039820 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 1468577039820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2320912984320).

1468577039820 is an abundant number, since it is smaller than the sum of its proper divisors (3173248928820).

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

1468577039820 is a wasteful number, since it uses less digits than its factorization.

1468577039820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21656 (or 21654 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 60.

The spelling of 1468577039820 in words is "one trillion, four hundred sixty-eight billion, five hundred seventy-seven million, thirty-nine thousand, eight hundred twenty".