10177773878020 has 384 divisors, whose sum is σ = 27708936192000. Its totient is φ = 3122055788544.

The previous prime is 10177773877927. The next prime is 10177773878023. The reversal of 10177773878020 is 2087837777101.

It is a super-2 number, since 2×10177773878020² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10177773878023) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 437196741 + ... + 437220019.

It is an arithmetic number, because the mean of its divisors is an integer number (72158688000).

Almost surely, 2^{10177773878020} is an apocalyptic number.

10177773878020 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 10177773878020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13854468096000).

10177773878020 is an abundant number, since it is smaller than the sum of its proper divisors (17531162313980).

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

10177773878020 is a wasteful number, since it uses less digits than its factorization.

10177773878020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23512 (or 23496 counting only the distinct ones).

The product of its (nonzero) digits is 6453888, while the sum is 58.

The spelling of 10177773878020 in words is "ten trillion, one hundred seventy-seven billion, seven hundred seventy-three million, eight hundred seventy-eight thousand, twenty".