10152245552400 has 720 divisors, whose sum is σ = 40884036111360. Its totient is φ = 2285041536000.

The previous prime is 10152245552387. The next prime is 10152245552429. The reversal of 10152245552400 is 425554225101.

10152245552400 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 2 + 245 + 5 + 5 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×10152245552400² (a number of 27 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 464601475 + ... + 464623325.

It is an arithmetic number, because the mean of its divisors is an integer number (56783383488).

Almost surely, 2^{10152245552400} is an apocalyptic number.

10152245552400 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 10152245552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20442018055680).

10152245552400 is an abundant number, since it is smaller than the sum of its proper divisors (30731790558960).

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

10152245552400 is a wasteful number, since it uses less digits than its factorization.

10152245552400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22164 (or 22150 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

Adding to 10152245552400 its reverse (425554225101), we get a palindrome (10577799777501).

The spelling of 10152245552400 in words is "ten trillion, one hundred fifty-two billion, two hundred forty-five million, five hundred fifty-two thousand, four hundred".