6151988400 has 60 divisors (see below), whose sum is σ = 19706873352. Its totient is φ = 1640529920.

The previous prime is 6151988393. The next prime is 6151988413. The reversal of 6151988400 is 48891516.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×6151988400² = 75693922547469120000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2562129 + ... + 2564528.

Almost surely, 2^6151988400 is an apocalyptic number.

6151988400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6151988400 is an abundant number, since it is smaller than the sum of its proper divisors (13554884952).

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

6151988400 is a wasteful number, since it uses less digits than its factorization.

6151988400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5126678 (or 5126667 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 6151988400 is about 78434.6122575996. The cubic root of 6151988400 is about 1832.3362320898.

It can be divided in two parts, 615 and 1988400, that added together give a triangular number (1989015 = T₁₉₉₄).

The spelling of 6151988400 in words is "six billion, one hundred fifty-one million, nine hundred eighty-eight thousand, four hundred".