1961932277760 has 1152 divisors, whose sum is σ = 7945013381760. Its totient is φ = 409639845888.

The previous prime is 1961932277743. The next prime is 1961932277779. The reversal of 1961932277760 is 677722391691.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1961932277694 and 1961932277703.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2093844012 + ... + 2093844948.

It is an arithmetic number, because the mean of its divisors is an integer number (6896713005).

Almost surely, 2^{1961932277760} is an apocalyptic number.

1961932277760 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 1961932277760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3972506690880).

1961932277760 is an abundant number, since it is smaller than the sum of its proper divisors (5983081104000).

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

1961932277760 is a wasteful number, since it uses less digits than its factorization.

1961932277760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 12002256, while the sum is 60.

The spelling of 1961932277760 in words is "one trillion, nine hundred sixty-one billion, nine hundred thirty-two million, two hundred seventy-seven thousand, seven hundred sixty".