5962401900 has 360 divisors, whose sum is σ = 23790942560. Its totient is φ = 1257845760.

The previous prime is 5962401899. The next prime is 5962401901. The reversal of 5962401900 is 91042695.

It is an interprime number because it is at equal distance from previous prime (5962401899) and next prime (5962401901).

It is a super-2 number, since 2×5962401900² = 71100472834247220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5962401901) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 733056 + ... + 741144.

Almost surely, 2^5962401900 is an apocalyptic number.

5962401900 is a gapful number since it is divisible by the number (50) 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 5962401900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11895471280).

5962401900 is an abundant number, since it is smaller than the sum of its proper divisors (17828540660).

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

5962401900 is a wasteful number, since it uses less digits than its factorization.

5962401900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8135 (or 8119 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 5962401900 is about 77216.5908338357. The cubic root of 5962401900 is about 1813.3170657812.

The spelling of 5962401900 in words is "five billion, nine hundred sixty-two million, four hundred one thousand, nine hundred".