10277874988416 has 640 divisors, whose sum is σ = 37547326080000. Its totient is φ = 2781962910720.

The previous prime is 10277874988333. The next prime is 10277874988439. The reversal of 10277874988416 is 61488947877201.

10277874988416 is a `hidden beast` number, since 1 + 0 + 27 + 78 + 7 + 49 + 88 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 67492201 + ... + 67644311.

It is an arithmetic number, because the mean of its divisors is an integer number (58667697000).

Almost surely, 2^{10277874988416} is an apocalyptic number.

10277874988416 is a gapful number since it is divisible by the number (16) 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 10277874988416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18773663040000).

10277874988416 is an abundant number, since it is smaller than the sum of its proper divisors (27269451091584).

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

10277874988416 is an equidigital number, since it uses as much as digits as its factorization.

10277874988416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152177 (or 152142 counting only the distinct ones).

The product of its (nonzero) digits is 303464448, while the sum is 72.

The spelling of 10277874988416 in words is "ten trillion, two hundred seventy-seven billion, eight hundred seventy-four million, nine hundred eighty-eight thousand, four hundred sixteen".