1010077508880 has 240 divisors, whose sum is σ = 3714219774720. Its totient is φ = 243963187200.

The previous prime is 1010077508861. The next prime is 1010077508887. The reversal of 1010077508880 is 888057700101.

1010077508880 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1010077508887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1911016 + ... + 2381624.

It is an arithmetic number, because the mean of its divisors is an integer number (15475915728).

Almost surely, 2^{1010077508880} is an apocalyptic number.

1010077508880 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 1010077508880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857109887360).

1010077508880 is an abundant number, since it is smaller than the sum of its proper divisors (2704142265840).

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

1010077508880 is a wasteful number, since it uses less digits than its factorization.

1010077508880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470910 (or 470901 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 45.

The spelling of 1010077508880 in words is "one trillion, ten billion, seventy-seven million, five hundred eight thousand, eight hundred eighty".