10077273980928 has 1296 divisors, whose sum is σ = 38377181553984. Its totient is φ = 2613014691840.

The previous prime is 10077273980911. The next prime is 10077273980933. The reversal of 10077273980928 is 82908937277001.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17167417051 + ... + 17167417637.

It is an arithmetic number, because the mean of its divisors is an integer number (29612022804).

Almost surely, 2^{10077273980928} is an apocalyptic number.

10077273980928 is a gapful number since it is divisible by the number (18) 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 10077273980928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19188590776992).

10077273980928 is an abundant number, since it is smaller than the sum of its proper divisors (28299907573056).

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

10077273980928 is an frugal number, since it uses more digits than its factorization.

10077273980928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 63.

The spelling of 10077273980928 in words is "ten trillion, seventy-seven billion, two hundred seventy-three million, nine hundred eighty thousand, nine hundred twenty-eight".