10077122880 has 504 divisors, whose sum is σ = 39189245472. Its totient is φ = 2356992000.

The previous prime is 10077122801. The next prime is 10077122897. The reversal of 10077122880 is 8822177001.

It is a happy number.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30444315 + ... + 30444645.

Almost surely, 2^10077122880 is an apocalyptic number.

10077122880 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 10077122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19594622736).

10077122880 is an abundant number, since it is smaller than the sum of its proper divisors (29112122592).

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

10077122880 is a wasteful number, since it uses less digits than its factorization.

10077122880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

Adding to 10077122880 its reverse (8822177001), we get a palindrome (18899299881).

The spelling of 10077122880 in words is "ten billion, seventy-seven million, one hundred twenty-two thousand, eight hundred eighty".