15468156211200 has 2496 divisors, whose sum is σ = 67895143956480. Its totient is φ = 3009871872000.

The previous prime is 15468156211171. The next prime is 15468156211303. The reversal of 15468156211200 is 211265186451.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 57078067065 + ... + 57078067335.

Almost surely, 2^{15468156211200} is an apocalyptic number.

15468156211200 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 15468156211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33947571978240).

15468156211200 is an abundant number, since it is smaller than the sum of its proper divisors (52426987745280).

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

15468156211200 is a wasteful number, since it uses less digits than its factorization.

15468156211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The spelling of 15468156211200 in words is "fifteen trillion, four hundred sixty-eight billion, one hundred fifty-six million, two hundred eleven thousand, two hundred".