2151132572400 has 480 divisors, whose sum is σ = 8014684646400. Its totient is φ = 482999500800.

The previous prime is 2151132572389. The next prime is 2151132572411. The reversal of 2151132572400 is 42752311512.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2151132572389) and next prime (2151132572411).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 476017341 + ... + 476021859.

It is an arithmetic number, because the mean of its divisors is an integer number (16697259680).

Almost surely, 2^{2151132572400} is an apocalyptic number.

2151132572400 is a gapful number since it is divisible by the number (20) 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 2151132572400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4007342323200).

2151132572400 is an abundant number, since it is smaller than the sum of its proper divisors (5863552074000).

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

2151132572400 is a wasteful number, since it uses less digits than its factorization.

2151132572400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5537 (or 5526 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

Adding to 2151132572400 its reverse (42752311512), we get a palindrome (2193884883912).

The spelling of 2151132572400 in words is "two trillion, one hundred fifty-one billion, one hundred thirty-two million, five hundred seventy-two thousand, four hundred".