1916260767540 has 1152 divisors, whose sum is σ = 7513183641600. Its totient is φ = 400062136320.

The previous prime is 1916260767503. The next prime is 1916260767563. The reversal of 1916260767540 is 457670626191.

1916260767540 is a `hidden beast` number, since 1 + 9 + 1 + 6 + 26 + 0 + 76 + 7 + 540 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3036863025 + ... + 3036863655.

It is an arithmetic number, because the mean of its divisors is an integer number (6521860800).

Almost surely, 2^{1916260767540} is an apocalyptic number.

1916260767540 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 1916260767540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3756591820800).

1916260767540 is an abundant number, since it is smaller than the sum of its proper divisors (5596922874060).

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

1916260767540 is a wasteful number, since it uses less digits than its factorization.

1916260767540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 1916260767540 in words is "one trillion, nine hundred sixteen billion, two hundred sixty million, seven hundred sixty-seven thousand, five hundred forty".