253611995040000 has 1215 divisors, whose sum is σ = 956853327322893. Its totient is φ = 64577323008000.

The previous prime is 253611995039959. The next prime is 253611995040029. The reversal of 253611995040000 is 40599116352.

The square root of 253611995040000 is 15925200.

It is a perfect power (a square), and thus also a powerful number.

253611995040000 is a `hidden beast` number, since 2 + 5 + 3 + 6 + 1 + 199 + 50 + 400 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 32665888606464 + 220946106433536 = 5715408^2 + 14864256^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 439535519712 + ... + 439535520288.

Almost surely, 2^{253611995040000} is an apocalyptic number.

253611995040000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

253611995040000 is the 15925200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253611995040000

253611995040000 is an abundant number, since it is smaller than the sum of its proper divisors (703241332282893).

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

253611995040000 is an frugal number, since it uses more digits than its factorization.

253611995040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 253611995040000 in words is "two hundred fifty-three trillion, six hundred eleven billion, nine hundred ninety-five million, forty thousand".