10067125051152 has 240 divisors, whose sum is σ = 32155419421440. Its totient is φ = 2997653495040.

The previous prime is 10067125051133. The next prime is 10067125051171. The reversal of 10067125051152 is 25115052176001.

10067125051152 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 71 + 25 + 0 + 511 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (10067125051133) and next prime (10067125051171).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4464313 + ... + 6329639.

It is an arithmetic number, because the mean of its divisors is an integer number (133980914256).

Almost surely, 2^{10067125051152} is an apocalyptic number.

10067125051152 is a gapful number since it is divisible by the number (12) 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 10067125051152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16077709710720).

10067125051152 is an abundant number, since it is smaller than the sum of its proper divisors (22088294370288).

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

10067125051152 is a wasteful number, since it uses less digits than its factorization.

10067125051152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865419 (or 1865376 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 36.

The spelling of 10067125051152 in words is "ten trillion, sixty-seven billion, one hundred twenty-five million, fifty-one thousand, one hundred fifty-two".