2151008006400 has 648 divisors, whose sum is σ = 8700250794144. Its totient is φ = 521452339200.

The previous prime is 2151008006383. The next prime is 2151008006401. The reversal of 2151008006400 is 46008001512.

2151008006400 is a `hidden beast` number, since 2 + 1 + 5 + 10 + 0 + 8 + 0 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2151008006401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17044332 + ... + 17170068.

Almost surely, 2^{2151008006400} is an apocalyptic number.

2151008006400 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 2151008006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4350125397072).

2151008006400 is an abundant number, since it is smaller than the sum of its proper divisors (6549242787744).

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

2151008006400 is a wasteful number, since it uses less digits than its factorization.

2151008006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125789 (or 125758 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 2151008006400 in words is "two trillion, one hundred fifty-one billion, eight million, six thousand, four hundred".