10069151258400 has 576 divisors, whose sum is σ = 38382640103808. Its totient is φ = 2269710581760.

The previous prime is 10069151258389. The next prime is 10069151258443. The reversal of 10069151258400 is 485215196001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19368259 + ... + 19881341.

It is an arithmetic number, because the mean of its divisors is an integer number (66636527958).

Almost surely, 2^{10069151258400} is an apocalyptic number.

10069151258400 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 10069151258400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19191320051904).

10069151258400 is an abundant number, since it is smaller than the sum of its proper divisors (28313488845408).

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

10069151258400 is a wasteful number, since it uses less digits than its factorization.

10069151258400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513173 (or 513160 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The spelling of 10069151258400 in words is "ten trillion, sixty-nine billion, one hundred fifty-one million, two hundred fifty-eight thousand, four hundred".