1010761545600 has 960 divisors, whose sum is σ = 3942024926400. Its totient is φ = 254615961600.

The previous prime is 1010761545593. The next prime is 1010761545613. The reversal of 1010761545600 is 65451670101.

It is a happy number.

1010761545600 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 7 + 6 + 1 + 5 + 45 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 353288170 + ... + 353291030.

It is an arithmetic number, because the mean of its divisors is an integer number (4106275965).

Almost surely, 2^{1010761545600} is an apocalyptic number.

1010761545600 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 1010761545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971012463200).

1010761545600 is an abundant number, since it is smaller than the sum of its proper divisors (2931263380800).

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

1010761545600 is a wasteful number, since it uses less digits than its factorization.

1010761545600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2973 (or 2947 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 1010761545600 in words is "one trillion, ten billion, seven hundred sixty-one million, five hundred forty-five thousand, six hundred".