10151252930304 has 1152 divisors, whose sum is σ = 34326052992000. Its totient is φ = 2939800780800.

The previous prime is 10151252930293. The next prime is 10151252930333. The reversal of 10151252930304 is 40303925215101.

It is a happy number.

10151252930304 is a `hidden beast` number, since 1 + 0 + 1 + 512 + 52 + 93 + 0 + 3 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 127 ways as a sum of consecutive naturals, for example, 17840514532 + ... + 17840515100.

It is an arithmetic number, because the mean of its divisors is an integer number (29796921000).

Almost surely, 2^{10151252930304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10151252930304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17163026496000).

10151252930304 is an abundant number, since it is smaller than the sum of its proper divisors (24174800061696).

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

10151252930304 is a wasteful number, since it uses less digits than its factorization.

10151252930304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 10151252930304 in words is "ten trillion, one hundred fifty-one billion, two hundred fifty-two million, nine hundred thirty thousand, three hundred four".