10081772254080 has 768 divisors, whose sum is σ = 37480626892800. Its totient is φ = 2489121570816.

The previous prime is 10081772254039. The next prime is 10081772254091. The reversal of 10081772254080 is 8045227718001.

10081772254080 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 1 + 7 + 7 + 22 + 540 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5673478152 + ... + 5673479928.

It is an arithmetic number, because the mean of its divisors is an integer number (48802899600).

Almost surely, 2^{10081772254080} is an apocalyptic number.

10081772254080 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 10081772254080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18740313446400).

10081772254080 is an abundant number, since it is smaller than the sum of its proper divisors (27398854638720).

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

10081772254080 is a wasteful number, since it uses less digits than its factorization.

10081772254080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2971 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 10081772254080 in words is "ten trillion, eighty-one billion, seven hundred seventy-two million, two hundred fifty-four thousand, eighty".