10153534414500 has 144 divisors (see below), whose sum is σ = 32058861778944. Its totient is φ = 2705255400000.

The previous prime is 10153534414493. The next prime is 10153534414559. The reversal of 10153534414500 is 541443535101.

10153534414500 is a `hidden beast` number, since 1 + 0 + 1 + 53 + 53 + 44 + 14 + 500 = 666.

It is a super-2 number, since 2×10153534414500² (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 47 ways as a sum of consecutive naturals, for example, 4199335 + ... + 6159665.

It is an arithmetic number, because the mean of its divisors is an integer number (222630984576).

Almost surely, 2^{10153534414500} is an apocalyptic number.

10153534414500 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 10153534414500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16029430889472).

10153534414500 is an abundant number, since it is smaller than the sum of its proper divisors (21905327364444).

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

10153534414500 is a wasteful number, since it uses less digits than its factorization.

10153534414500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961507 (or 1961492 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 10153534414500 its reverse (541443535101), we get a palindrome (10694977949601).

The spelling of 10153534414500 in words is "ten trillion, one hundred fifty-three billion, five hundred thirty-four million, four hundred fourteen thousand, five hundred".