1010061601920 has 1920 divisors, whose sum is σ = 4408712478720. Its totient is φ = 219469824000.

The previous prime is 1010061601873. The next prime is 1010061601921. The reversal of 1010061601920 is 291061600101.

1010061601920 is a `hidden beast` number, since 1 + 0 + 10 + 0 + 616 + 0 + 19 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010061601921) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 7953240897 + ... + 7953241023.

It is an arithmetic number, because the mean of its divisors is an integer number (2296204416).

Almost surely, 2^{1010061601920} is an apocalyptic number.

1010061601920 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 1010061601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204356239360).

1010061601920 is an abundant number, since it is smaller than the sum of its proper divisors (3398650876800).

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

1010061601920 is a wasteful number, since it uses less digits than its factorization.

1010061601920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 1010061601920 in words is "one trillion, ten billion, sixty-one million, six hundred one thousand, nine hundred twenty".