2151545000400 has 720 divisors, whose sum is σ = 8032772726784. Its totient is φ = 532000465920.

The previous prime is 2151545000329. The next prime is 2151545000453. The reversal of 2151545000400 is 40005451512.

2151545000400 is a `hidden beast` number, since 2 + 1 + 5 + 154 + 500 + 0 + 4 + 0 + 0 = 666.

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

It is a congruent number.

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, 416398617 + ... + 416403783.

Almost surely, 2^{2151545000400} is an apocalyptic number.

2151545000400 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 2151545000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4016386363392).

2151545000400 is an abundant number, since it is smaller than the sum of its proper divisors (5881227726384).

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

2151545000400 is a wasteful number, since it uses less digits than its factorization.

2151545000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5368 (or 5354 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 2151545000400 in words is "two trillion, one hundred fifty-one billion, five hundred forty-five million, four hundred", and thus it is an aban number.