101778738880000 has 2400 divisors, whose sum is σ = 352001212605504. Its totient is φ = 28975693824000.

The previous prime is 101778738879989. The next prime is 101778738880001. The reversal of 101778738880000 is 88837877101.

101778738880000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101778738880001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 79701439362 + ... + 79701440638.

Almost surely, 2^{101778738880000} is an apocalyptic number.

101778738880000 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 101778738880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176000606302752).

101778738880000 is an abundant number, since it is smaller than the sum of its proper divisors (250222473725504).

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

101778738880000 is a wasteful number, since it uses less digits than its factorization.

101778738880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 58.

The spelling of 101778738880000 in words is "one hundred one trillion, seven hundred seventy-eight billion, seven hundred thirty-eight million, eight hundred eighty thousand".