10277778505540 has 192 divisors, whose sum is σ = 27564732518400. Its totient is φ = 3132352581120.

The previous prime is 10277778505531. The next prime is 10277778505541. The reversal of 10277778505540 is 4550587777201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10277778505541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4631611 + ... + 6481309.

It is an arithmetic number, because the mean of its divisors is an integer number (143566315200).

Almost surely, 2^{10277778505540} is an apocalyptic number.

10277778505540 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 10277778505540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13782366259200).

10277778505540 is an abundant number, since it is smaller than the sum of its proper divisors (17286954012860).

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

10277778505540 is a wasteful number, since it uses less digits than its factorization.

10277778505540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849842 (or 1849840 counting only the distinct ones).

The product of its (nonzero) digits is 19208000, while the sum is 58.

The spelling of 10277778505540 in words is "ten trillion, two hundred seventy-seven billion, seven hundred seventy-eight million, five hundred five thousand, five hundred forty".