542061260451000 has 192 divisors, whose sum is σ = 1834495123762080. Its totient is φ = 144365995814400.

The previous prime is 542061260450959. The next prime is 542061260451077. The reversal of 542061260451000 is 154062160245.

542061260451000 is a `hidden beast` number, since 5 + 4 + 20 + 6 + 12 + 604 + 5 + 10 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31181949 + ... + 45347948.

Almost surely, 2^{542061260451000} is an apocalyptic number.

542061260451000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

542061260451000 is an abundant number, since it is smaller than the sum of its proper divisors (1292433863311080).

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

542061260451000 is a wasteful number, since it uses less digits than its factorization.

542061260451000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76530711 (or 76530694 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 542061260451000 in words is "five hundred forty-two trillion, sixty-one billion, two hundred sixty million, four hundred fifty-one thousand".