1977165923040 has 1728 divisors, whose sum is σ = 8966862596160. Its totient is φ = 410408570880.

The previous prime is 1977165923021. The next prime is 1977165923041. The reversal of 1977165923040 is 403295617791.

1977165923040 is a `hidden beast` number, since 1 + 9 + 7 + 7 + 1 + 6 + 592 + 3 + 0 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1977165923041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2074675204 + ... + 2074676156.

It is an arithmetic number, because the mean of its divisors is an integer number (5189156595).

Almost surely, 2^{1977165923040} is an apocalyptic number.

1977165923040 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 1977165923040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4483431298080).

1977165923040 is an abundant number, since it is smaller than the sum of its proper divisors (6989696673120).

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

1977165923040 is an equidigital number, since it uses as much as digits as its factorization.

1977165923040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 1977165923040 in words is "one trillion, nine hundred seventy-seven billion, one hundred sixty-five million, nine hundred twenty-three thousand, forty".